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Finding the Third Proportional to 10,297.13 and 18,378.77

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Solution

The third proportional to 10,297.13 and 18,378.77 is: 32,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 18,378.77 = 18,378.77 : x
  2. Step 2: Convert to fraction form
    10,297.13/18,378.77 = 18,378.77/x
  3. Step 3: Cross multiply
    10,297.13x = 18,378.77 × 18,378.77
  4. Step 4: Simplify right side
    10,297.13x = 337,779,313.07
  5. Step 5: Solve for x
    x = 337,779,313.07/10,297.13
  6. Step 6: Final answer
    x = 32,803.26

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.