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Finding the Third Proportional to 39,080 and 60,488

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Solution

The third proportional to 39,080 and 60,488 is: 93,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,080 : 60,488 = 60,488 : x
  2. Step 2: Convert to fraction form
    39,080/60,488 = 60,488/x
  3. Step 3: Cross multiply
    39,080x = 60,488 × 60,488
  4. Step 4: Simplify right side
    39,080x = 3,658,798,144
  5. Step 5: Solve for x
    x = 3,658,798,144/39,080
  6. Step 6: Final answer
    x = 93,623.29

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Why These Related Problems?

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