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Finding the Third Proportional to 957.38 and 1,522.88

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Solution

The third proportional to 957.38 and 1,522.88 is: 2,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.38 : 1,522.88 = 1,522.88 : x
  2. Step 2: Convert to fraction form
    957.38/1,522.88 = 1,522.88/x
  3. Step 3: Cross multiply
    957.38x = 1,522.88 × 1,522.88
  4. Step 4: Simplify right side
    957.38x = 2,319,148.27
  5. Step 5: Solve for x
    x = 2,319,148.27/957.38
  6. Step 6: Final answer
    x = 2,422.40

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Why These Related Problems?

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