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Finding the Third Proportional to 40,667.50 and 64,934.50

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Solution

The third proportional to 40,667.50 and 64,934.50 is: 103,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,667.50 : 64,934.50 = 64,934.50 : x
  2. Step 2: Convert to fraction form
    40,667.50/64,934.50 = 64,934.50/x
  3. Step 3: Cross multiply
    40,667.50x = 64,934.50 × 64,934.50
  4. Step 4: Simplify right side
    40,667.50x = 4,216,489,290.25
  5. Step 5: Solve for x
    x = 4,216,489,290.25/40,667.50
  6. Step 6: Final answer
    x = 103,682.04

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.