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Finding the Third Proportional to 976.38 and 1,465.75

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Solution

The third proportional to 976.38 and 1,465.75 is: 2,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.38 : 1,465.75 = 1,465.75 : x
  2. Step 2: Convert to fraction form
    976.38/1,465.75 = 1,465.75/x
  3. Step 3: Cross multiply
    976.38x = 1,465.75 × 1,465.75
  4. Step 4: Simplify right side
    976.38x = 2,148,423.06
  5. Step 5: Solve for x
    x = 2,148,423.06/976.38
  6. Step 6: Final answer
    x = 2,200.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.