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Finding the Third Proportional to 6,387.19 and 13,535.44

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Solution

The third proportional to 6,387.19 and 13,535.44 is: 28,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.19 : 13,535.44 = 13,535.44 : x
  2. Step 2: Convert to fraction form
    6,387.19/13,535.44 = 13,535.44/x
  3. Step 3: Cross multiply
    6,387.19x = 13,535.44 × 13,535.44
  4. Step 4: Simplify right side
    6,387.19x = 183,208,068.32
  5. Step 5: Solve for x
    x = 183,208,068.32/6,387.19
  6. Step 6: Final answer
    x = 28,683.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.