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Finding the Third Proportional to 37,714.36 and 82,630.13

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Solution

The third proportional to 37,714.36 and 82,630.13 is: 181,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714.36 : 82,630.13 = 82,630.13 : x
  2. Step 2: Convert to fraction form
    37,714.36/82,630.13 = 82,630.13/x
  3. Step 3: Cross multiply
    37,714.36x = 82,630.13 × 82,630.13
  4. Step 4: Simplify right side
    37,714.36x = 6,827,737,557.52
  5. Step 5: Solve for x
    x = 6,827,737,557.52/37,714.36
  6. Step 6: Final answer
    x = 181,038.14

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