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Finding the Third Proportional to 972.42 and 1,519.38

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Solution

The third proportional to 972.42 and 1,519.38 is: 2,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.42 : 1,519.38 = 1,519.38 : x
  2. Step 2: Convert to fraction form
    972.42/1,519.38 = 1,519.38/x
  3. Step 3: Cross multiply
    972.42x = 1,519.38 × 1,519.38
  4. Step 4: Simplify right side
    972.42x = 2,308,524.13
  5. Step 5: Solve for x
    x = 2,308,524.13/972.42
  6. Step 6: Final answer
    x = 2,373.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.