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Finding the Third Proportional to 21,904.25 and 29,116.75

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Solution

The third proportional to 21,904.25 and 29,116.75 is: 38,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904.25 : 29,116.75 = 29,116.75 : x
  2. Step 2: Convert to fraction form
    21,904.25/29,116.75 = 29,116.75/x
  3. Step 3: Cross multiply
    21,904.25x = 29,116.75 × 29,116.75
  4. Step 4: Simplify right side
    21,904.25x = 847,785,130.56
  5. Step 5: Solve for x
    x = 847,785,130.56/21,904.25
  6. Step 6: Final answer
    x = 38,704.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.