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Finding the Third Proportional to 37,509.75 and 58,061.81

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Solution

The third proportional to 37,509.75 and 58,061.81 is: 89,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509.75 : 58,061.81 = 58,061.81 : x
  2. Step 2: Convert to fraction form
    37,509.75/58,061.81 = 58,061.81/x
  3. Step 3: Cross multiply
    37,509.75x = 58,061.81 × 58,061.81
  4. Step 4: Simplify right side
    37,509.75x = 3,371,174,070.79
  5. Step 5: Solve for x
    x = 3,371,174,070.79/37,509.75
  6. Step 6: Final answer
    x = 89,874.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.