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Finding the Third Proportional to 2,952.07 and 6,109.17

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Solution

The third proportional to 2,952.07 and 6,109.17 is: 12,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.07 : 6,109.17 = 6,109.17 : x
  2. Step 2: Convert to fraction form
    2,952.07/6,109.17 = 6,109.17/x
  3. Step 3: Cross multiply
    2,952.07x = 6,109.17 × 6,109.17
  4. Step 4: Simplify right side
    2,952.07x = 37,321,981.00
  5. Step 5: Solve for x
    x = 37,321,981.00/2,952.07
  6. Step 6: Final answer
    x = 12,642.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.