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Finding the Third Proportional to 10,210 and 14,452

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Solution

The third proportional to 10,210 and 14,452 is: 20,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210 : 14,452 = 14,452 : x
  2. Step 2: Convert to fraction form
    10,210/14,452 = 14,452/x
  3. Step 3: Cross multiply
    10,210x = 14,452 × 14,452
  4. Step 4: Simplify right side
    10,210x = 208,860,304
  5. Step 5: Solve for x
    x = 208,860,304/10,210
  6. Step 6: Final answer
    x = 20,456.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.