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Finding the Third Proportional to 956.25 and 1,516.88

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Solution

The third proportional to 956.25 and 1,516.88 is: 2,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.25 : 1,516.88 = 1,516.88 : x
  2. Step 2: Convert to fraction form
    956.25/1,516.88 = 1,516.88/x
  3. Step 3: Cross multiply
    956.25x = 1,516.88 × 1,516.88
  4. Step 4: Simplify right side
    956.25x = 2,300,909.77
  5. Step 5: Solve for x
    x = 2,300,909.77/956.25
  6. Step 6: Final answer
    x = 2,406.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.