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Finding the Third Proportional to 8,307.25 and 11,848.88

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Solution

The third proportional to 8,307.25 and 11,848.88 is: 16,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.25 : 11,848.88 = 11,848.88 : x
  2. Step 2: Convert to fraction form
    8,307.25/11,848.88 = 11,848.88/x
  3. Step 3: Cross multiply
    8,307.25x = 11,848.88 × 11,848.88
  4. Step 4: Simplify right side
    8,307.25x = 140,395,838.77
  5. Step 5: Solve for x
    x = 140,395,838.77/8,307.25
  6. Step 6: Final answer
    x = 16,900.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.