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Finding the Third Proportional to 37,680.19 and 60,598.13

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Solution

The third proportional to 37,680.19 and 60,598.13 is: 97,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680.19 : 60,598.13 = 60,598.13 : x
  2. Step 2: Convert to fraction form
    37,680.19/60,598.13 = 60,598.13/x
  3. Step 3: Cross multiply
    37,680.19x = 60,598.13 × 60,598.13
  4. Step 4: Simplify right side
    37,680.19x = 3,672,132,753.52
  5. Step 5: Solve for x
    x = 3,672,132,753.52/37,680.19
  6. Step 6: Final answer
    x = 97,455.27

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.