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Finding the Third Proportional to 964.13 and 1,537.88

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Solution

The third proportional to 964.13 and 1,537.88 is: 2,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.13 : 1,537.88 = 1,537.88 : x
  2. Step 2: Convert to fraction form
    964.13/1,537.88 = 1,537.88/x
  3. Step 3: Cross multiply
    964.13x = 1,537.88 × 1,537.88
  4. Step 4: Simplify right side
    964.13x = 2,365,059.52
  5. Step 5: Solve for x
    x = 2,365,059.52/964.13
  6. Step 6: Final answer
    x = 2,453.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.