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Finding the Third Proportional to 31,300 and 42,630

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Solution

The third proportional to 31,300 and 42,630 is: 58,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300 : 42,630 = 42,630 : x
  2. Step 2: Convert to fraction form
    31,300/42,630 = 42,630/x
  3. Step 3: Cross multiply
    31,300x = 42,630 × 42,630
  4. Step 4: Simplify right side
    31,300x = 1,817,316,900
  5. Step 5: Solve for x
    x = 1,817,316,900/31,300
  6. Step 6: Final answer
    x = 58,061.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.