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Finding the Third Proportional to 18,114 and 24,681

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Solution

The third proportional to 18,114 and 24,681 is: 33,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114 : 24,681 = 24,681 : x
  2. Step 2: Convert to fraction form
    18,114/24,681 = 24,681/x
  3. Step 3: Cross multiply
    18,114x = 24,681 × 24,681
  4. Step 4: Simplify right side
    18,114x = 609,151,761
  5. Step 5: Solve for x
    x = 609,151,761/18,114
  6. Step 6: Final answer
    x = 33,628.78

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1.5x scale

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.