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Finding the Third Proportional to 13,182.75 and 28,824.19

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Solution

The third proportional to 13,182.75 and 28,824.19 is: 63,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.75 : 28,824.19 = 28,824.19 : x
  2. Step 2: Convert to fraction form
    13,182.75/28,824.19 = 28,824.19/x
  3. Step 3: Cross multiply
    13,182.75x = 28,824.19 × 28,824.19
  4. Step 4: Simplify right side
    13,182.75x = 830,833,785.04
  5. Step 5: Solve for x
    x = 830,833,785.04/13,182.75
  6. Step 6: Final answer
    x = 63,024.31

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Why These Related Problems?

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