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Finding the Third Proportional to 37,894.59 and 63,153.89

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Solution

The third proportional to 37,894.59 and 63,153.89 is: 105,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894.59 : 63,153.89 = 63,153.89 : x
  2. Step 2: Convert to fraction form
    37,894.59/63,153.89 = 63,153.89/x
  3. Step 3: Cross multiply
    37,894.59x = 63,153.89 × 63,153.89
  4. Step 4: Simplify right side
    37,894.59x = 3,988,413,901.07
  5. Step 5: Solve for x
    x = 3,988,413,901.07/37,894.59
  6. Step 6: Final answer
    x = 105,250.21

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.