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Finding the Third Proportional to 26,352 and 56,733.75

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Solution

The third proportional to 26,352 and 56,733.75 is: 122,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,352 : 56,733.75 = 56,733.75 : x
  2. Step 2: Convert to fraction form
    26,352/56,733.75 = 56,733.75/x
  3. Step 3: Cross multiply
    26,352x = 56,733.75 × 56,733.75
  4. Step 4: Simplify right side
    26,352x = 3,218,718,389.06
  5. Step 5: Solve for x
    x = 3,218,718,389.06/26,352
  6. Step 6: Final answer
    x = 122,143.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.