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Finding the Third Proportional to 882.13 and 1,395.63

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Solution

The third proportional to 882.13 and 1,395.63 is: 2,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.13 : 1,395.63 = 1,395.63 : x
  2. Step 2: Convert to fraction form
    882.13/1,395.63 = 1,395.63/x
  3. Step 3: Cross multiply
    882.13x = 1,395.63 × 1,395.63
  4. Step 4: Simplify right side
    882.13x = 1,947,769.14
  5. Step 5: Solve for x
    x = 1,947,769.14/882.13
  6. Step 6: Final answer
    x = 2,208.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.