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Finding the Third Proportional to 13,432 and 23,316

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Solution

The third proportional to 13,432 and 23,316 is: 40,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432 : 23,316 = 23,316 : x
  2. Step 2: Convert to fraction form
    13,432/23,316 = 23,316/x
  3. Step 3: Cross multiply
    13,432x = 23,316 × 23,316
  4. Step 4: Simplify right side
    13,432x = 543,635,856
  5. Step 5: Solve for x
    x = 543,635,856/13,432
  6. Step 6: Final answer
    x = 40,473.19

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.