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Finding the Third Proportional to 15,232 and 24,352

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Solution

The third proportional to 15,232 and 24,352 is: 38,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232 : 24,352 = 24,352 : x
  2. Step 2: Convert to fraction form
    15,232/24,352 = 24,352/x
  3. Step 3: Cross multiply
    15,232x = 24,352 × 24,352
  4. Step 4: Simplify right side
    15,232x = 593,019,904
  5. Step 5: Solve for x
    x = 593,019,904/15,232
  6. Step 6: Final answer
    x = 38,932.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.