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Finding the Third Proportional to 47,582 and 74,098

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Solution

The third proportional to 47,582 and 74,098 is: 115,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,582 : 74,098 = 74,098 : x
  2. Step 2: Convert to fraction form
    47,582/74,098 = 74,098/x
  3. Step 3: Cross multiply
    47,582x = 74,098 × 74,098
  4. Step 4: Simplify right side
    47,582x = 5,490,513,604
  5. Step 5: Solve for x
    x = 5,490,513,604/47,582
  6. Step 6: Final answer
    x = 115,390.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.