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Finding the Third Proportional to 9,788.25 and 15,159.75

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Solution

The third proportional to 9,788.25 and 15,159.75 is: 23,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.25 : 15,159.75 = 15,159.75 : x
  2. Step 2: Convert to fraction form
    9,788.25/15,159.75 = 15,159.75/x
  3. Step 3: Cross multiply
    9,788.25x = 15,159.75 × 15,159.75
  4. Step 4: Simplify right side
    9,788.25x = 229,818,020.06
  5. Step 5: Solve for x
    x = 229,818,020.06/9,788.25
  6. Step 6: Final answer
    x = 23,478.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.