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Finding the Third Proportional to 23,432 and 47,506

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Solution

The third proportional to 23,432 and 47,506 is: 96,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432 : 47,506 = 47,506 : x
  2. Step 2: Convert to fraction form
    23,432/47,506 = 47,506/x
  3. Step 3: Cross multiply
    23,432x = 47,506 × 47,506
  4. Step 4: Simplify right side
    23,432x = 2,256,820,036
  5. Step 5: Solve for x
    x = 2,256,820,036/23,432
  6. Step 6: Final answer
    x = 96,313.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.