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Finding the Third Proportional to 15,445.13 and 31,617.75

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Solution

The third proportional to 15,445.13 and 31,617.75 is: 64,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,445.13 : 31,617.75 = 31,617.75 : x
  2. Step 2: Convert to fraction form
    15,445.13/31,617.75 = 31,617.75/x
  3. Step 3: Cross multiply
    15,445.13x = 31,617.75 × 31,617.75
  4. Step 4: Simplify right side
    15,445.13x = 999,682,115.06
  5. Step 5: Solve for x
    x = 999,682,115.06/15,445.13
  6. Step 6: Final answer
    x = 64,724.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.