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Finding the Third Proportional to 30,241.13 and 65,656.13

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Solution

The third proportional to 30,241.13 and 65,656.13 is: 142,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241.13 : 65,656.13 = 65,656.13 : x
  2. Step 2: Convert to fraction form
    30,241.13/65,656.13 = 65,656.13/x
  3. Step 3: Cross multiply
    30,241.13x = 65,656.13 × 65,656.13
  4. Step 4: Simplify right side
    30,241.13x = 4,310,726,750.02
  5. Step 5: Solve for x
    x = 4,310,726,750.02/30,241.13
  6. Step 6: Final answer
    x = 142,545.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.