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Finding the Third Proportional to 10,378.76 and 16,089.26

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Solution

The third proportional to 10,378.76 and 16,089.26 is: 24,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.76 : 16,089.26 = 16,089.26 : x
  2. Step 2: Convert to fraction form
    10,378.76/16,089.26 = 16,089.26/x
  3. Step 3: Cross multiply
    10,378.76x = 16,089.26 × 16,089.26
  4. Step 4: Simplify right side
    10,378.76x = 258,864,216.96
  5. Step 5: Solve for x
    x = 258,864,216.96/10,378.76
  6. Step 6: Final answer
    x = 24,941.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.