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Finding the Third Proportional to 38,097.75 and 56,041.69

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Solution

The third proportional to 38,097.75 and 56,041.69 is: 82,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.75 : 56,041.69 = 56,041.69 : x
  2. Step 2: Convert to fraction form
    38,097.75/56,041.69 = 56,041.69/x
  3. Step 3: Cross multiply
    38,097.75x = 56,041.69 × 56,041.69
  4. Step 4: Simplify right side
    38,097.75x = 3,140,670,737.85
  5. Step 5: Solve for x
    x = 3,140,670,737.85/38,097.75
  6. Step 6: Final answer
    x = 82,437.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.