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Finding the Third Proportional to 12,632 and 13,784

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Solution

The third proportional to 12,632 and 13,784 is: 15,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632 : 13,784 = 13,784 : x
  2. Step 2: Convert to fraction form
    12,632/13,784 = 13,784/x
  3. Step 3: Cross multiply
    12,632x = 13,784 × 13,784
  4. Step 4: Simplify right side
    12,632x = 189,998,656
  5. Step 5: Solve for x
    x = 189,998,656/12,632
  6. Step 6: Final answer
    x = 15,041.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.