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Finding the Third Proportional to 10,778.06 and 16,648.88

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Solution

The third proportional to 10,778.06 and 16,648.88 is: 25,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.06 : 16,648.88 = 16,648.88 : x
  2. Step 2: Convert to fraction form
    10,778.06/16,648.88 = 16,648.88/x
  3. Step 3: Cross multiply
    10,778.06x = 16,648.88 × 16,648.88
  4. Step 4: Simplify right side
    10,778.06x = 277,185,038.77
  5. Step 5: Solve for x
    x = 277,185,038.77/10,778.06
  6. Step 6: Final answer
    x = 25,717.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.