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Finding the Third Proportional to 24,135 and 36,154

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Solution

The third proportional to 24,135 and 36,154 is: 54,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135 : 36,154 = 36,154 : x
  2. Step 2: Convert to fraction form
    24,135/36,154 = 36,154/x
  3. Step 3: Cross multiply
    24,135x = 36,154 × 36,154
  4. Step 4: Simplify right side
    24,135x = 1,307,111,716
  5. Step 5: Solve for x
    x = 1,307,111,716/24,135
  6. Step 6: Final answer
    x = 54,158.35

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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.