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Finding the Third Proportional to 19,904.91 and 31,068.56

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Solution

The third proportional to 19,904.91 and 31,068.56 is: 48,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904.91 : 31,068.56 = 31,068.56 : x
  2. Step 2: Convert to fraction form
    19,904.91/31,068.56 = 31,068.56/x
  3. Step 3: Cross multiply
    19,904.91x = 31,068.56 × 31,068.56
  4. Step 4: Simplify right side
    19,904.91x = 965,255,575.82
  5. Step 5: Solve for x
    x = 965,255,575.82/19,904.91
  6. Step 6: Final answer
    x = 48,493.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.