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Finding the Third Proportional to 12,101.48 and 26,057.11

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Solution

The third proportional to 12,101.48 and 26,057.11 is: 56,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.48 : 26,057.11 = 26,057.11 : x
  2. Step 2: Convert to fraction form
    12,101.48/26,057.11 = 26,057.11/x
  3. Step 3: Cross multiply
    12,101.48x = 26,057.11 × 26,057.11
  4. Step 4: Simplify right side
    12,101.48x = 678,972,948.98
  5. Step 5: Solve for x
    x = 678,972,948.98/12,101.48
  6. Step 6: Final answer
    x = 56,106.58

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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.