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Finding the Third Proportional to 20,352 and 26,460

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Solution

The third proportional to 20,352 and 26,460 is: 34,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,352 : 26,460 = 26,460 : x
  2. Step 2: Convert to fraction form
    20,352/26,460 = 26,460/x
  3. Step 3: Cross multiply
    20,352x = 26,460 × 26,460
  4. Step 4: Simplify right side
    20,352x = 700,131,600
  5. Step 5: Solve for x
    x = 700,131,600/20,352
  6. Step 6: Final answer
    x = 34,401.12

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.