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Finding the Third Proportional to 13,164.61 and 28,675.69

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Solution

The third proportional to 13,164.61 and 28,675.69 is: 62,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.61 : 28,675.69 = 28,675.69 : x
  2. Step 2: Convert to fraction form
    13,164.61/28,675.69 = 28,675.69/x
  3. Step 3: Cross multiply
    13,164.61x = 28,675.69 × 28,675.69
  4. Step 4: Simplify right side
    13,164.61x = 822,295,053.60
  5. Step 5: Solve for x
    x = 822,295,053.60/13,164.61
  6. Step 6: Final answer
    x = 62,462.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.