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Finding the Third Proportional to 8,476.76 and 12,801.64

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Solution

The third proportional to 8,476.76 and 12,801.64 is: 19,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.76 : 12,801.64 = 12,801.64 : x
  2. Step 2: Convert to fraction form
    8,476.76/12,801.64 = 12,801.64/x
  3. Step 3: Cross multiply
    8,476.76x = 12,801.64 × 12,801.64
  4. Step 4: Simplify right side
    8,476.76x = 163,881,952.69
  5. Step 5: Solve for x
    x = 163,881,952.69/8,476.76
  6. Step 6: Final answer
    x = 19,333.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.