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Finding the Third Proportional to 22,480 and 34,008

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Solution

The third proportional to 22,480 and 34,008 is: 51,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480 : 34,008 = 34,008 : x
  2. Step 2: Convert to fraction form
    22,480/34,008 = 34,008/x
  3. Step 3: Cross multiply
    22,480x = 34,008 × 34,008
  4. Step 4: Simplify right side
    22,480x = 1,156,544,064
  5. Step 5: Solve for x
    x = 1,156,544,064/22,480
  6. Step 6: Final answer
    x = 51,447.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.