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Finding the Third Proportional to 16,721.88 and 22,929.75

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Solution

The third proportional to 16,721.88 and 22,929.75 is: 31,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,721.88 : 22,929.75 = 22,929.75 : x
  2. Step 2: Convert to fraction form
    16,721.88/22,929.75 = 22,929.75/x
  3. Step 3: Cross multiply
    16,721.88x = 22,929.75 × 22,929.75
  4. Step 4: Simplify right side
    16,721.88x = 525,773,435.06
  5. Step 5: Solve for x
    x = 525,773,435.06/16,721.88
  6. Step 6: Final answer
    x = 31,442.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.