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Finding the Third Proportional to 16,360 and 22,952

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Solution

The third proportional to 16,360 and 22,952 is: 32,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,360 : 22,952 = 22,952 : x
  2. Step 2: Convert to fraction form
    16,360/22,952 = 22,952/x
  3. Step 3: Cross multiply
    16,360x = 22,952 × 22,952
  4. Step 4: Simplify right side
    16,360x = 526,794,304
  5. Step 5: Solve for x
    x = 526,794,304/16,360
  6. Step 6: Final answer
    x = 32,200.14

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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.