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Finding the Third Proportional to 10,689.38 and 16,444.13

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Solution

The third proportional to 10,689.38 and 16,444.13 is: 25,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.38 : 16,444.13 = 16,444.13 : x
  2. Step 2: Convert to fraction form
    10,689.38/16,444.13 = 16,444.13/x
  3. Step 3: Cross multiply
    10,689.38x = 16,444.13 × 16,444.13
  4. Step 4: Simplify right side
    10,689.38x = 270,409,247.02
  5. Step 5: Solve for x
    x = 270,409,247.02/10,689.38
  6. Step 6: Final answer
    x = 25,297.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.