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Finding the Third Proportional to 15,207 and 24,150

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Solution

The third proportional to 15,207 and 24,150 is: 38,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207 : 24,150 = 24,150 : x
  2. Step 2: Convert to fraction form
    15,207/24,150 = 24,150/x
  3. Step 3: Cross multiply
    15,207x = 24,150 × 24,150
  4. Step 4: Simplify right side
    15,207x = 583,222,500
  5. Step 5: Solve for x
    x = 583,222,500/15,207
  6. Step 6: Final answer
    x = 38,352.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.