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Finding the Third Proportional to 15,432 and 23,047

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Solution

The third proportional to 15,432 and 23,047 is: 34,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,432 : 23,047 = 23,047 : x
  2. Step 2: Convert to fraction form
    15,432/23,047 = 23,047/x
  3. Step 3: Cross multiply
    15,432x = 23,047 × 23,047
  4. Step 4: Simplify right side
    15,432x = 531,164,209
  5. Step 5: Solve for x
    x = 531,164,209/15,432
  6. Step 6: Final answer
    x = 34,419.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.