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Finding the Third Proportional to 12,567 and 23,630

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Solution

The third proportional to 12,567 and 23,630 is: 44,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567 : 23,630 = 23,630 : x
  2. Step 2: Convert to fraction form
    12,567/23,630 = 23,630/x
  3. Step 3: Cross multiply
    12,567x = 23,630 × 23,630
  4. Step 4: Simplify right side
    12,567x = 558,376,900
  5. Step 5: Solve for x
    x = 558,376,900/12,567
  6. Step 6: Final answer
    x = 44,432.00

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.