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Finding the Third Proportional to 977.38 and 2,134.13

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Solution

The third proportional to 977.38 and 2,134.13 is: 4,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.38 : 2,134.13 = 2,134.13 : x
  2. Step 2: Convert to fraction form
    977.38/2,134.13 = 2,134.13/x
  3. Step 3: Cross multiply
    977.38x = 2,134.13 × 2,134.13
  4. Step 4: Simplify right side
    977.38x = 4,554,489.52
  5. Step 5: Solve for x
    x = 4,554,489.52/977.38
  6. Step 6: Final answer
    x = 4,659.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.