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Finding the Third Proportional to 48,817 and 66,313.50

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Solution

The third proportional to 48,817 and 66,313.50 is: 90,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,817 : 66,313.50 = 66,313.50 : x
  2. Step 2: Convert to fraction form
    48,817/66,313.50 = 66,313.50/x
  3. Step 3: Cross multiply
    48,817x = 66,313.50 × 66,313.50
  4. Step 4: Simplify right side
    48,817x = 4,397,480,282.25
  5. Step 5: Solve for x
    x = 4,397,480,282.25/48,817
  6. Step 6: Final answer
    x = 90,080.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.