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Finding the Third Proportional to 26,502.19 and 30,268.69

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Solution

The third proportional to 26,502.19 and 30,268.69 is: 34,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502.19 : 30,268.69 = 30,268.69 : x
  2. Step 2: Convert to fraction form
    26,502.19/30,268.69 = 30,268.69/x
  3. Step 3: Cross multiply
    26,502.19x = 30,268.69 × 30,268.69
  4. Step 4: Simplify right side
    26,502.19x = 916,193,442.97
  5. Step 5: Solve for x
    x = 916,193,442.97/26,502.19
  6. Step 6: Final answer
    x = 34,570.48

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.