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Finding the Third Proportional to 13,750.31 and 26,407.13

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Solution

The third proportional to 13,750.31 and 26,407.13 is: 50,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.31 : 26,407.13 = 26,407.13 : x
  2. Step 2: Convert to fraction form
    13,750.31/26,407.13 = 26,407.13/x
  3. Step 3: Cross multiply
    13,750.31x = 26,407.13 × 26,407.13
  4. Step 4: Simplify right side
    13,750.31x = 697,336,250.77
  5. Step 5: Solve for x
    x = 697,336,250.77/13,750.31
  6. Step 6: Final answer
    x = 50,714.21

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.