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Finding the Third Proportional to 19,432 and 40,246

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Solution

The third proportional to 19,432 and 40,246 is: 83,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432 : 40,246 = 40,246 : x
  2. Step 2: Convert to fraction form
    19,432/40,246 = 40,246/x
  3. Step 3: Cross multiply
    19,432x = 40,246 × 40,246
  4. Step 4: Simplify right side
    19,432x = 1,619,740,516
  5. Step 5: Solve for x
    x = 1,619,740,516/19,432
  6. Step 6: Final answer
    x = 83,354.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.