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Finding the Third Proportional to 6,866.25 and 15,068.63

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Solution

The third proportional to 6,866.25 and 15,068.63 is: 33,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.25 : 15,068.63 = 15,068.63 : x
  2. Step 2: Convert to fraction form
    6,866.25/15,068.63 = 15,068.63/x
  3. Step 3: Cross multiply
    6,866.25x = 15,068.63 × 15,068.63
  4. Step 4: Simplify right side
    6,866.25x = 227,063,459.39
  5. Step 5: Solve for x
    x = 227,063,459.39/6,866.25
  6. Step 6: Final answer
    x = 33,069.50

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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.