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Finding the Third Proportional to 972.32 and 1,461.01

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Solution

The third proportional to 972.32 and 1,461.01 is: 2,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.32 : 1,461.01 = 1,461.01 : x
  2. Step 2: Convert to fraction form
    972.32/1,461.01 = 1,461.01/x
  3. Step 3: Cross multiply
    972.32x = 1,461.01 × 1,461.01
  4. Step 4: Simplify right side
    972.32x = 2,134,538.12
  5. Step 5: Solve for x
    x = 2,134,538.12/972.32
  6. Step 6: Final answer
    x = 2,195.31

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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.