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Finding the Third Proportional to 10,422.75 and 16,521.75

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Solution

The third proportional to 10,422.75 and 16,521.75 is: 26,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.75 : 16,521.75 = 16,521.75 : x
  2. Step 2: Convert to fraction form
    10,422.75/16,521.75 = 16,521.75/x
  3. Step 3: Cross multiply
    10,422.75x = 16,521.75 × 16,521.75
  4. Step 4: Simplify right side
    10,422.75x = 272,968,223.06
  5. Step 5: Solve for x
    x = 272,968,223.06/10,422.75
  6. Step 6: Final answer
    x = 26,189.65

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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.