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Finding the Third Proportional to 37,902.94 and 59,281.03

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Solution

The third proportional to 37,902.94 and 59,281.03 is: 92,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,902.94 : 59,281.03 = 59,281.03 : x
  2. Step 2: Convert to fraction form
    37,902.94/59,281.03 = 59,281.03/x
  3. Step 3: Cross multiply
    37,902.94x = 59,281.03 × 59,281.03
  4. Step 4: Simplify right side
    37,902.94x = 3,514,240,666.06
  5. Step 5: Solve for x
    x = 3,514,240,666.06/37,902.94
  6. Step 6: Final answer
    x = 92,716.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.