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Finding the Third Proportional to 9,142 and 14,344

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Solution

The third proportional to 9,142 and 14,344 is: 22,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142 : 14,344 = 14,344 : x
  2. Step 2: Convert to fraction form
    9,142/14,344 = 14,344/x
  3. Step 3: Cross multiply
    9,142x = 14,344 × 14,344
  4. Step 4: Simplify right side
    9,142x = 205,750,336
  5. Step 5: Solve for x
    x = 205,750,336/9,142
  6. Step 6: Final answer
    x = 22,506.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.