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Finding the Third Proportional to 972.38 and 1,359.56

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Solution

The third proportional to 972.38 and 1,359.56 is: 1,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.38 : 1,359.56 = 1,359.56 : x
  2. Step 2: Convert to fraction form
    972.38/1,359.56 = 1,359.56/x
  3. Step 3: Cross multiply
    972.38x = 1,359.56 × 1,359.56
  4. Step 4: Simplify right side
    972.38x = 1,848,410.19
  5. Step 5: Solve for x
    x = 1,848,410.19/972.38
  6. Step 6: Final answer
    x = 1,900.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.