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Finding the Third Proportional to 20,589.19 and 31,114.13

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Solution

The third proportional to 20,589.19 and 31,114.13 is: 47,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.19 : 31,114.13 = 31,114.13 : x
  2. Step 2: Convert to fraction form
    20,589.19/31,114.13 = 31,114.13/x
  3. Step 3: Cross multiply
    20,589.19x = 31,114.13 × 31,114.13
  4. Step 4: Simplify right side
    20,589.19x = 968,088,774.52
  5. Step 5: Solve for x
    x = 968,088,774.52/20,589.19
  6. Step 6: Final answer
    x = 47,019.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.