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Finding the Third Proportional to 50,051.63 and 67,416.19

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Solution

The third proportional to 50,051.63 and 67,416.19 is: 90,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,051.63 : 67,416.19 = 67,416.19 : x
  2. Step 2: Convert to fraction form
    50,051.63/67,416.19 = 67,416.19/x
  3. Step 3: Cross multiply
    50,051.63x = 67,416.19 × 67,416.19
  4. Step 4: Simplify right side
    50,051.63x = 4,544,942,337.04
  5. Step 5: Solve for x
    x = 4,544,942,337.04/50,051.63
  6. Step 6: Final answer
    x = 90,805.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.