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Finding the Third Proportional to 10,652.77 and 20,160.14

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Solution

The third proportional to 10,652.77 and 20,160.14 is: 38,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.77 : 20,160.14 = 20,160.14 : x
  2. Step 2: Convert to fraction form
    10,652.77/20,160.14 = 20,160.14/x
  3. Step 3: Cross multiply
    10,652.77x = 20,160.14 × 20,160.14
  4. Step 4: Simplify right side
    10,652.77x = 406,431,270.02
  5. Step 5: Solve for x
    x = 406,431,270.02/10,652.77
  6. Step 6: Final answer
    x = 38,152.65

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.