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Finding the Third Proportional to 13,549.78 and 32,637.94

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Solution

The third proportional to 13,549.78 and 32,637.94 is: 78,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.78 : 32,637.94 = 32,637.94 : x
  2. Step 2: Convert to fraction form
    13,549.78/32,637.94 = 32,637.94/x
  3. Step 3: Cross multiply
    13,549.78x = 32,637.94 × 32,637.94
  4. Step 4: Simplify right side
    13,549.78x = 1,065,234,964.25
  5. Step 5: Solve for x
    x = 1,065,234,964.25/13,549.78
  6. Step 6: Final answer
    x = 78,616.40

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.