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Finding the Third Proportional to 39,090 and 60,490

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Solution

The third proportional to 39,090 and 60,490 is: 93,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,090 : 60,490 = 60,490 : x
  2. Step 2: Convert to fraction form
    39,090/60,490 = 60,490/x
  3. Step 3: Cross multiply
    39,090x = 60,490 × 60,490
  4. Step 4: Simplify right side
    39,090x = 3,659,040,100
  5. Step 5: Solve for x
    x = 3,659,040,100/39,090
  6. Step 6: Final answer
    x = 93,605.53

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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.