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Finding the Third Proportional to 6,868.13 and 15,783.19

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Solution

The third proportional to 6,868.13 and 15,783.19 is: 36,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.13 : 15,783.19 = 15,783.19 : x
  2. Step 2: Convert to fraction form
    6,868.13/15,783.19 = 15,783.19/x
  3. Step 3: Cross multiply
    6,868.13x = 15,783.19 × 15,783.19
  4. Step 4: Simplify right side
    6,868.13x = 249,109,007.66
  5. Step 5: Solve for x
    x = 249,109,007.66/6,868.13
  6. Step 6: Final answer
    x = 36,270.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.