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Finding the Third Proportional to 875.75 and 953.38

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Solution

The third proportional to 875.75 and 953.38 is: 1,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.75 : 953.38 = 953.38 : x
  2. Step 2: Convert to fraction form
    875.75/953.38 = 953.38/x
  3. Step 3: Cross multiply
    875.75x = 953.38 × 953.38
  4. Step 4: Simplify right side
    875.75x = 908,923.89
  5. Step 5: Solve for x
    x = 908,923.89/875.75
  6. Step 6: Final answer
    x = 1,037.88

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.