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Finding the Third Proportional to 15,454.23 and 23,296.68

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Solution

The third proportional to 15,454.23 and 23,296.68 is: 35,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,454.23 : 23,296.68 = 23,296.68 : x
  2. Step 2: Convert to fraction form
    15,454.23/23,296.68 = 23,296.68/x
  3. Step 3: Cross multiply
    15,454.23x = 23,296.68 × 23,296.68
  4. Step 4: Simplify right side
    15,454.23x = 542,735,102.46
  5. Step 5: Solve for x
    x = 542,735,102.46/15,454.23
  6. Step 6: Final answer
    x = 35,118.87

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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.