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Finding the Third Proportional to 37,610.50 and 58,047

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Solution

The third proportional to 37,610.50 and 58,047 is: 89,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610.50 : 58,047 = 58,047 : x
  2. Step 2: Convert to fraction form
    37,610.50/58,047 = 58,047/x
  3. Step 3: Cross multiply
    37,610.50x = 58,047 × 58,047
  4. Step 4: Simplify right side
    37,610.50x = 3,369,454,209
  5. Step 5: Solve for x
    x = 3,369,454,209/37,610.50
  6. Step 6: Final answer
    x = 89,588.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.