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Finding the Third Proportional to 12,854.53 and 28,112.06

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Solution

The third proportional to 12,854.53 and 28,112.06 is: 61,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.53 : 28,112.06 = 28,112.06 : x
  2. Step 2: Convert to fraction form
    12,854.53/28,112.06 = 28,112.06/x
  3. Step 3: Cross multiply
    12,854.53x = 28,112.06 × 28,112.06
  4. Step 4: Simplify right side
    12,854.53x = 790,288,058.00
  5. Step 5: Solve for x
    x = 790,288,058.00/12,854.53
  6. Step 6: Final answer
    x = 61,479.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.