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Finding the Third Proportional to 13,246 and 21,084

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Solution

The third proportional to 13,246 and 21,084 is: 33,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246 : 21,084 = 21,084 : x
  2. Step 2: Convert to fraction form
    13,246/21,084 = 21,084/x
  3. Step 3: Cross multiply
    13,246x = 21,084 × 21,084
  4. Step 4: Simplify right side
    13,246x = 444,535,056
  5. Step 5: Solve for x
    x = 444,535,056/13,246
  6. Step 6: Final answer
    x = 33,559.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.