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Finding the Third Proportional to 37,151.16 and 57,547.97

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Solution

The third proportional to 37,151.16 and 57,547.97 is: 89,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,151.16 : 57,547.97 = 57,547.97 : x
  2. Step 2: Convert to fraction form
    37,151.16/57,547.97 = 57,547.97/x
  3. Step 3: Cross multiply
    37,151.16x = 57,547.97 × 57,547.97
  4. Step 4: Simplify right side
    37,151.16x = 3,311,768,707.25
  5. Step 5: Solve for x
    x = 3,311,768,707.25/37,151.16
  6. Step 6: Final answer
    x = 89,143.09

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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.