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Finding the Third Proportional to 42,117.75 and 63,615.38

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Solution

The third proportional to 42,117.75 and 63,615.38 is: 96,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,117.75 : 63,615.38 = 63,615.38 : x
  2. Step 2: Convert to fraction form
    42,117.75/63,615.38 = 63,615.38/x
  3. Step 3: Cross multiply
    42,117.75x = 63,615.38 × 63,615.38
  4. Step 4: Simplify right side
    42,117.75x = 4,046,915,936.39
  5. Step 5: Solve for x
    x = 4,046,915,936.39/42,117.75
  6. Step 6: Final answer
    x = 96,085.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.