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Finding the Third Proportional to 47,646.75 and 62,654.63

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Solution

The third proportional to 47,646.75 and 62,654.63 is: 82,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646.75 : 62,654.63 = 62,654.63 : x
  2. Step 2: Convert to fraction form
    47,646.75/62,654.63 = 62,654.63/x
  3. Step 3: Cross multiply
    47,646.75x = 62,654.63 × 62,654.63
  4. Step 4: Simplify right side
    47,646.75x = 3,925,602,033.89
  5. Step 5: Solve for x
    x = 3,925,602,033.89/47,646.75
  6. Step 6: Final answer
    x = 82,389.71

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.