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Finding the Third Proportional to 6,969.80 and 15,209.02

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Solution

The third proportional to 6,969.80 and 15,209.02 is: 33,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.80 : 15,209.02 = 15,209.02 : x
  2. Step 2: Convert to fraction form
    6,969.80/15,209.02 = 15,209.02/x
  3. Step 3: Cross multiply
    6,969.80x = 15,209.02 × 15,209.02
  4. Step 4: Simplify right side
    6,969.80x = 231,314,156.28
  5. Step 5: Solve for x
    x = 231,314,156.28/6,969.80
  6. Step 6: Final answer
    x = 33,188.08

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Why These Related Problems?

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