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Finding the Third Proportional to 9,649.13 and 15,364.69

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Solution

The third proportional to 9,649.13 and 15,364.69 is: 24,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.13 : 15,364.69 = 15,364.69 : x
  2. Step 2: Convert to fraction form
    9,649.13/15,364.69 = 15,364.69/x
  3. Step 3: Cross multiply
    9,649.13x = 15,364.69 × 15,364.69
  4. Step 4: Simplify right side
    9,649.13x = 236,073,621.97
  5. Step 5: Solve for x
    x = 236,073,621.97/9,649.13
  6. Step 6: Final answer
    x = 24,465.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.