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Finding the Third Proportional to 26,085.91 and 38,975.28

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Solution

The third proportional to 26,085.91 and 38,975.28 is: 58,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,085.91 : 38,975.28 = 38,975.28 : x
  2. Step 2: Convert to fraction form
    26,085.91/38,975.28 = 38,975.28/x
  3. Step 3: Cross multiply
    26,085.91x = 38,975.28 × 38,975.28
  4. Step 4: Simplify right side
    26,085.91x = 1,519,072,548.52
  5. Step 5: Solve for x
    x = 1,519,072,548.52/26,085.91
  6. Step 6: Final answer
    x = 58,233.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.