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Finding the Third Proportional to 39,180 and 58,854

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Solution

The third proportional to 39,180 and 58,854 is: 88,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,180 : 58,854 = 58,854 : x
  2. Step 2: Convert to fraction form
    39,180/58,854 = 58,854/x
  3. Step 3: Cross multiply
    39,180x = 58,854 × 58,854
  4. Step 4: Simplify right side
    39,180x = 3,463,793,316
  5. Step 5: Solve for x
    x = 3,463,793,316/39,180
  6. Step 6: Final answer
    x = 88,407.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.