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Finding the Third Proportional to 3,547.23 and 7,716.20

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Solution

The third proportional to 3,547.23 and 7,716.20 is: 16,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.23 : 7,716.20 = 7,716.20 : x
  2. Step 2: Convert to fraction form
    3,547.23/7,716.20 = 7,716.20/x
  3. Step 3: Cross multiply
    3,547.23x = 7,716.20 × 7,716.20
  4. Step 4: Simplify right side
    3,547.23x = 59,539,730.38
  5. Step 5: Solve for x
    x = 59,539,730.38/3,547.23
  6. Step 6: Final answer
    x = 16,784.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.