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Finding the Third Proportional to 26,470.13 and 38,895.19

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Solution

The third proportional to 26,470.13 and 38,895.19 is: 57,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,470.13 : 38,895.19 = 38,895.19 : x
  2. Step 2: Convert to fraction form
    26,470.13/38,895.19 = 38,895.19/x
  3. Step 3: Cross multiply
    26,470.13x = 38,895.19 × 38,895.19
  4. Step 4: Simplify right side
    26,470.13x = 1,512,835,610.66
  5. Step 5: Solve for x
    x = 1,512,835,610.66/26,470.13
  6. Step 6: Final answer
    x = 57,152.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.