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Finding the Third Proportional to 21,801.66 and 33,966.84

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Solution

The third proportional to 21,801.66 and 33,966.84 is: 52,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,801.66 : 33,966.84 = 33,966.84 : x
  2. Step 2: Convert to fraction form
    21,801.66/33,966.84 = 33,966.84/x
  3. Step 3: Cross multiply
    21,801.66x = 33,966.84 × 33,966.84
  4. Step 4: Simplify right side
    21,801.66x = 1,153,746,474.34
  5. Step 5: Solve for x
    x = 1,153,746,474.34/21,801.66
  6. Step 6: Final answer
    x = 52,920.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.