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Finding the Third Proportional to 924.13 and 1,395.81

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Solution

The third proportional to 924.13 and 1,395.81 is: 2,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.13 : 1,395.81 = 1,395.81 : x
  2. Step 2: Convert to fraction form
    924.13/1,395.81 = 1,395.81/x
  3. Step 3: Cross multiply
    924.13x = 1,395.81 × 1,395.81
  4. Step 4: Simplify right side
    924.13x = 1,948,292.54
  5. Step 5: Solve for x
    x = 1,948,292.54/924.13
  6. Step 6: Final answer
    x = 2,108.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.