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Finding the Third Proportional to 15,730 and 22,048

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Solution

The third proportional to 15,730 and 22,048 is: 30,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730 : 22,048 = 22,048 : x
  2. Step 2: Convert to fraction form
    15,730/22,048 = 22,048/x
  3. Step 3: Cross multiply
    15,730x = 22,048 × 22,048
  4. Step 4: Simplify right side
    15,730x = 486,114,304
  5. Step 5: Solve for x
    x = 486,114,304/15,730
  6. Step 6: Final answer
    x = 30,903.64

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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.