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Finding the Third Proportional to 64,027.13 and 93,963.38

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Solution

The third proportional to 64,027.13 and 93,963.38 is: 137,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,027.13 : 93,963.38 = 93,963.38 : x
  2. Step 2: Convert to fraction form
    64,027.13/93,963.38 = 93,963.38/x
  3. Step 3: Cross multiply
    64,027.13x = 93,963.38 × 93,963.38
  4. Step 4: Simplify right side
    64,027.13x = 8,829,115,841.39
  5. Step 5: Solve for x
    x = 8,829,115,841.39/64,027.13
  6. Step 6: Final answer
    x = 137,896.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.