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Finding the Third Proportional to 3,630.19 and 7,952.06

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Solution

The third proportional to 3,630.19 and 7,952.06 is: 17,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.19 : 7,952.06 = 7,952.06 : x
  2. Step 2: Convert to fraction form
    3,630.19/7,952.06 = 7,952.06/x
  3. Step 3: Cross multiply
    3,630.19x = 7,952.06 × 7,952.06
  4. Step 4: Simplify right side
    3,630.19x = 63,235,298.00
  5. Step 5: Solve for x
    x = 63,235,298.00/3,630.19
  6. Step 6: Final answer
    x = 17,419.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.