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Finding the Third Proportional to 910.13 and 2,159.44

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Solution

The third proportional to 910.13 and 2,159.44 is: 5,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.13 : 2,159.44 = 2,159.44 : x
  2. Step 2: Convert to fraction form
    910.13/2,159.44 = 2,159.44/x
  3. Step 3: Cross multiply
    910.13x = 2,159.44 × 2,159.44
  4. Step 4: Simplify right side
    910.13x = 4,663,170.32
  5. Step 5: Solve for x
    x = 4,663,170.32/910.13
  6. Step 6: Final answer
    x = 5,123.66

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.