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Finding the Third Proportional to 12,913 and 28,284

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Solution

The third proportional to 12,913 and 28,284 is: 61,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913 : 28,284 = 28,284 : x
  2. Step 2: Convert to fraction form
    12,913/28,284 = 28,284/x
  3. Step 3: Cross multiply
    12,913x = 28,284 × 28,284
  4. Step 4: Simplify right side
    12,913x = 799,984,656
  5. Step 5: Solve for x
    x = 799,984,656/12,913
  6. Step 6: Final answer
    x = 61,951.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.