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Finding the Third Proportional to 37,758.50 and 59,985.50

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Solution

The third proportional to 37,758.50 and 59,985.50 is: 95,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.50 : 59,985.50 = 59,985.50 : x
  2. Step 2: Convert to fraction form
    37,758.50/59,985.50 = 59,985.50/x
  3. Step 3: Cross multiply
    37,758.50x = 59,985.50 × 59,985.50
  4. Step 4: Simplify right side
    37,758.50x = 3,598,260,210.25
  5. Step 5: Solve for x
    x = 3,598,260,210.25/37,758.50
  6. Step 6: Final answer
    x = 95,296.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.