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Finding the Third Proportional to 26,502.19 and 57,376.69

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Solution

The third proportional to 26,502.19 and 57,376.69 is: 124,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502.19 : 57,376.69 = 57,376.69 : x
  2. Step 2: Convert to fraction form
    26,502.19/57,376.69 = 57,376.69/x
  3. Step 3: Cross multiply
    26,502.19x = 57,376.69 × 57,376.69
  4. Step 4: Simplify right side
    26,502.19x = 3,292,084,268.47
  5. Step 5: Solve for x
    x = 3,292,084,268.47/26,502.19
  6. Step 6: Final answer
    x = 124,219.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.