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Finding the Third Proportional to 8,572 and 12,986

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Solution

The third proportional to 8,572 and 12,986 is: 19,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572 : 12,986 = 12,986 : x
  2. Step 2: Convert to fraction form
    8,572/12,986 = 12,986/x
  3. Step 3: Cross multiply
    8,572x = 12,986 × 12,986
  4. Step 4: Simplify right side
    8,572x = 168,636,196
  5. Step 5: Solve for x
    x = 168,636,196/8,572
  6. Step 6: Final answer
    x = 19,672.91

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Why These Related Problems?

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