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Finding the Third Proportional to 15,747 and 22,053

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Solution

The third proportional to 15,747 and 22,053 is: 30,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747 : 22,053 = 22,053 : x
  2. Step 2: Convert to fraction form
    15,747/22,053 = 22,053/x
  3. Step 3: Cross multiply
    15,747x = 22,053 × 22,053
  4. Step 4: Simplify right side
    15,747x = 486,334,809
  5. Step 5: Solve for x
    x = 486,334,809/15,747
  6. Step 6: Final answer
    x = 30,884.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.