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Finding the Third Proportional to 881.75 and 1,159.63

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Solution

The third proportional to 881.75 and 1,159.63 is: 1,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.75 : 1,159.63 = 1,159.63 : x
  2. Step 2: Convert to fraction form
    881.75/1,159.63 = 1,159.63/x
  3. Step 3: Cross multiply
    881.75x = 1,159.63 × 1,159.63
  4. Step 4: Simplify right side
    881.75x = 1,344,730.14
  5. Step 5: Solve for x
    x = 1,344,730.14/881.75
  6. Step 6: Final answer
    x = 1,525.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.