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Finding the Third Proportional to 6,326.16 and 15,109.03

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Solution

The third proportional to 6,326.16 and 15,109.03 is: 36,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.16 : 15,109.03 = 15,109.03 : x
  2. Step 2: Convert to fraction form
    6,326.16/15,109.03 = 15,109.03/x
  3. Step 3: Cross multiply
    6,326.16x = 15,109.03 × 15,109.03
  4. Step 4: Simplify right side
    6,326.16x = 228,282,825.31
  5. Step 5: Solve for x
    x = 228,282,825.31/6,326.16
  6. Step 6: Final answer
    x = 36,085.55

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.