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Finding the Third Proportional to 37,050.75 and 81,307.13

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Solution

The third proportional to 37,050.75 and 81,307.13 is: 178,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,050.75 : 81,307.13 = 81,307.13 : x
  2. Step 2: Convert to fraction form
    37,050.75/81,307.13 = 81,307.13/x
  3. Step 3: Cross multiply
    37,050.75x = 81,307.13 × 81,307.13
  4. Step 4: Simplify right side
    37,050.75x = 6,610,848,575.77
  5. Step 5: Solve for x
    x = 6,610,848,575.77/37,050.75
  6. Step 6: Final answer
    x = 178,426.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.