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Finding the Third Proportional to 26,389.69 and 53,853.19

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Solution

The third proportional to 26,389.69 and 53,853.19 is: 109,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,389.69 : 53,853.19 = 53,853.19 : x
  2. Step 2: Convert to fraction form
    26,389.69/53,853.19 = 53,853.19/x
  3. Step 3: Cross multiply
    26,389.69x = 53,853.19 × 53,853.19
  4. Step 4: Simplify right side
    26,389.69x = 2,900,165,803.91
  5. Step 5: Solve for x
    x = 2,900,165,803.91/26,389.69
  6. Step 6: Final answer
    x = 109,897.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.