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Finding the Third Proportional to 976.01 and 1,438.17

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Solution

The third proportional to 976.01 and 1,438.17 is: 2,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.01 : 1,438.17 = 1,438.17 : x
  2. Step 2: Convert to fraction form
    976.01/1,438.17 = 1,438.17/x
  3. Step 3: Cross multiply
    976.01x = 1,438.17 × 1,438.17
  4. Step 4: Simplify right side
    976.01x = 2,068,338.34
  5. Step 5: Solve for x
    x = 2,068,338.34/976.01
  6. Step 6: Final answer
    x = 2,119.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.