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Finding the Third Proportional to 8,712 and 14,284

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Solution

The third proportional to 8,712 and 14,284 is: 23,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712 : 14,284 = 14,284 : x
  2. Step 2: Convert to fraction form
    8,712/14,284 = 14,284/x
  3. Step 3: Cross multiply
    8,712x = 14,284 × 14,284
  4. Step 4: Simplify right side
    8,712x = 204,032,656
  5. Step 5: Solve for x
    x = 204,032,656/8,712
  6. Step 6: Final answer
    x = 23,419.73

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.