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Finding the Third Proportional to 26,610.75 and 37,000.13

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Solution

The third proportional to 26,610.75 and 37,000.13 is: 51,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,610.75 : 37,000.13 = 37,000.13 : x
  2. Step 2: Convert to fraction form
    26,610.75/37,000.13 = 37,000.13/x
  3. Step 3: Cross multiply
    26,610.75x = 37,000.13 × 37,000.13
  4. Step 4: Simplify right side
    26,610.75x = 1,369,009,250.02
  5. Step 5: Solve for x
    x = 1,369,009,250.02/26,610.75
  6. Step 6: Final answer
    x = 51,445.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.