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Finding the Third Proportional to 22,264.88 and 53,209.41

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Solution

The third proportional to 22,264.88 and 53,209.41 is: 127,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.88 : 53,209.41 = 53,209.41 : x
  2. Step 2: Convert to fraction form
    22,264.88/53,209.41 = 53,209.41/x
  3. Step 3: Cross multiply
    22,264.88x = 53,209.41 × 53,209.41
  4. Step 4: Simplify right side
    22,264.88x = 2,831,240,913.48
  5. Step 5: Solve for x
    x = 2,831,240,913.48/22,264.88
  6. Step 6: Final answer
    x = 127,161.77

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.