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Finding the Third Proportional to 40,313 and 60,510

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Solution

The third proportional to 40,313 and 60,510 is: 90,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,313 : 60,510 = 60,510 : x
  2. Step 2: Convert to fraction form
    40,313/60,510 = 60,510/x
  3. Step 3: Cross multiply
    40,313x = 60,510 × 60,510
  4. Step 4: Simplify right side
    40,313x = 3,661,460,100
  5. Step 5: Solve for x
    x = 3,661,460,100/40,313
  6. Step 6: Final answer
    x = 90,825.79

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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.