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Finding the Third Proportional to 24,248 and 35,432

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Solution

The third proportional to 24,248 and 35,432 is: 51,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,248 : 35,432 = 35,432 : x
  2. Step 2: Convert to fraction form
    24,248/35,432 = 35,432/x
  3. Step 3: Cross multiply
    24,248x = 35,432 × 35,432
  4. Step 4: Simplify right side
    24,248x = 1,255,426,624
  5. Step 5: Solve for x
    x = 1,255,426,624/24,248
  6. Step 6: Final answer
    x = 51,774.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.