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Finding the Third Proportional to 8,316.56 and 17,952.19

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Solution

The third proportional to 8,316.56 and 17,952.19 is: 38,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.56 : 17,952.19 = 17,952.19 : x
  2. Step 2: Convert to fraction form
    8,316.56/17,952.19 = 17,952.19/x
  3. Step 3: Cross multiply
    8,316.56x = 17,952.19 × 17,952.19
  4. Step 4: Simplify right side
    8,316.56x = 322,281,036.04
  5. Step 5: Solve for x
    x = 322,281,036.04/8,316.56
  6. Step 6: Final answer
    x = 38,751.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.