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Finding the Third Proportional to 17,210.25 and 22,680

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Solution

The third proportional to 17,210.25 and 22,680 is: 29,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,210.25 : 22,680 = 22,680 : x
  2. Step 2: Convert to fraction form
    17,210.25/22,680 = 22,680/x
  3. Step 3: Cross multiply
    17,210.25x = 22,680 × 22,680
  4. Step 4: Simplify right side
    17,210.25x = 514,382,400
  5. Step 5: Solve for x
    x = 514,382,400/17,210.25
  6. Step 6: Final answer
    x = 29,888.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.