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Finding the Third Proportional to 39,866.75 and 64,235.50

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Solution

The third proportional to 39,866.75 and 64,235.50 is: 103,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866.75 : 64,235.50 = 64,235.50 : x
  2. Step 2: Convert to fraction form
    39,866.75/64,235.50 = 64,235.50/x
  3. Step 3: Cross multiply
    39,866.75x = 64,235.50 × 64,235.50
  4. Step 4: Simplify right side
    39,866.75x = 4,126,199,460.25
  5. Step 5: Solve for x
    x = 4,126,199,460.25/39,866.75
  6. Step 6: Final answer
    x = 103,499.77

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.