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Finding the Third Proportional to 37,827 and 82,792.13

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Solution

The third proportional to 37,827 and 82,792.13 is: 181,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,827 : 82,792.13 = 82,792.13 : x
  2. Step 2: Convert to fraction form
    37,827/82,792.13 = 82,792.13/x
  3. Step 3: Cross multiply
    37,827x = 82,792.13 × 82,792.13
  4. Step 4: Simplify right side
    37,827x = 6,854,535,962.02
  5. Step 5: Solve for x
    x = 6,854,535,962.02/37,827
  6. Step 6: Final answer
    x = 181,207.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.