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Finding the Third Proportional to 2,160.42 and 4,577.13

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Solution

The third proportional to 2,160.42 and 4,577.13 is: 9,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.42 : 4,577.13 = 4,577.13 : x
  2. Step 2: Convert to fraction form
    2,160.42/4,577.13 = 4,577.13/x
  3. Step 3: Cross multiply
    2,160.42x = 4,577.13 × 4,577.13
  4. Step 4: Simplify right side
    2,160.42x = 20,950,144.78
  5. Step 5: Solve for x
    x = 20,950,144.78/2,160.42
  6. Step 6: Final answer
    x = 9,697.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.