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Finding the Third Proportional to 8,184 and 14,784

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Solution

The third proportional to 8,184 and 14,784 is: 26,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 14,784 = 14,784 : x
  2. Step 2: Convert to fraction form
    8,184/14,784 = 14,784/x
  3. Step 3: Cross multiply
    8,184x = 14,784 × 14,784
  4. Step 4: Simplify right side
    8,184x = 218,566,656
  5. Step 5: Solve for x
    x = 218,566,656/8,184
  6. Step 6: Final answer
    x = 26,706.58

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.