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Finding the Third Proportional to 39,440 and 59,570

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Solution

The third proportional to 39,440 and 59,570 is: 89,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,440 : 59,570 = 59,570 : x
  2. Step 2: Convert to fraction form
    39,440/59,570 = 59,570/x
  3. Step 3: Cross multiply
    39,440x = 59,570 × 59,570
  4. Step 4: Simplify right side
    39,440x = 3,548,584,900
  5. Step 5: Solve for x
    x = 3,548,584,900/39,440
  6. Step 6: Final answer
    x = 89,974.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.