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Finding the Third Proportional to 29,548 and 45,416.50

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Solution

The third proportional to 29,548 and 45,416.50 is: 69,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,548 : 45,416.50 = 45,416.50 : x
  2. Step 2: Convert to fraction form
    29,548/45,416.50 = 45,416.50/x
  3. Step 3: Cross multiply
    29,548x = 45,416.50 × 45,416.50
  4. Step 4: Simplify right side
    29,548x = 2,062,658,472.25
  5. Step 5: Solve for x
    x = 2,062,658,472.25/29,548
  6. Step 6: Final answer
    x = 69,807.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.