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Finding the Third Proportional to 24,312 and 36,543

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Solution

The third proportional to 24,312 and 36,543 is: 54,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 36,543 = 36,543 : x
  2. Step 2: Convert to fraction form
    24,312/36,543 = 36,543/x
  3. Step 3: Cross multiply
    24,312x = 36,543 × 36,543
  4. Step 4: Simplify right side
    24,312x = 1,335,390,849
  5. Step 5: Solve for x
    x = 1,335,390,849/24,312
  6. Step 6: Final answer
    x = 54,927.23

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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.