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Finding the Third Proportional to 12,823 and 26,527

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Solution

The third proportional to 12,823 and 26,527 is: 54,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823 : 26,527 = 26,527 : x
  2. Step 2: Convert to fraction form
    12,823/26,527 = 26,527/x
  3. Step 3: Cross multiply
    12,823x = 26,527 × 26,527
  4. Step 4: Simplify right side
    12,823x = 703,681,729
  5. Step 5: Solve for x
    x = 703,681,729/12,823
  6. Step 6: Final answer
    x = 54,876.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.