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Finding the Third Proportional to 34,537 and 51,591.75

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Solution

The third proportional to 34,537 and 51,591.75 is: 77,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,537 : 51,591.75 = 51,591.75 : x
  2. Step 2: Convert to fraction form
    34,537/51,591.75 = 51,591.75/x
  3. Step 3: Cross multiply
    34,537x = 51,591.75 × 51,591.75
  4. Step 4: Simplify right side
    34,537x = 2,661,708,668.06
  5. Step 5: Solve for x
    x = 2,661,708,668.06/34,537
  6. Step 6: Final answer
    x = 77,068.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.