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Finding the Third Proportional to 24,600 and 32,364

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Solution

The third proportional to 24,600 and 32,364 is: 42,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600 : 32,364 = 32,364 : x
  2. Step 2: Convert to fraction form
    24,600/32,364 = 32,364/x
  3. Step 3: Cross multiply
    24,600x = 32,364 × 32,364
  4. Step 4: Simplify right side
    24,600x = 1,047,428,496
  5. Step 5: Solve for x
    x = 1,047,428,496/24,600
  6. Step 6: Final answer
    x = 42,578.39

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.