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Finding the Third Proportional to 15,493.50 and 31,904.44

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Solution

The third proportional to 15,493.50 and 31,904.44 is: 65,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.50 : 31,904.44 = 31,904.44 : x
  2. Step 2: Convert to fraction form
    15,493.50/31,904.44 = 31,904.44/x
  3. Step 3: Cross multiply
    15,493.50x = 31,904.44 × 31,904.44
  4. Step 4: Simplify right side
    15,493.50x = 1,017,893,132.19
  5. Step 5: Solve for x
    x = 1,017,893,132.19/15,493.50
  6. Step 6: Final answer
    x = 65,698.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.