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Finding the Third Proportional to 14,411.25 and 22,254.75

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Solution

The third proportional to 14,411.25 and 22,254.75 is: 34,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.25 : 22,254.75 = 22,254.75 : x
  2. Step 2: Convert to fraction form
    14,411.25/22,254.75 = 22,254.75/x
  3. Step 3: Cross multiply
    14,411.25x = 22,254.75 × 22,254.75
  4. Step 4: Simplify right side
    14,411.25x = 495,273,897.56
  5. Step 5: Solve for x
    x = 495,273,897.56/14,411.25
  6. Step 6: Final answer
    x = 34,367.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.