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Finding the Third Proportional to 12,773 and 27,382

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Solution

The third proportional to 12,773 and 27,382 is: 58,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773 : 27,382 = 27,382 : x
  2. Step 2: Convert to fraction form
    12,773/27,382 = 27,382/x
  3. Step 3: Cross multiply
    12,773x = 27,382 × 27,382
  4. Step 4: Simplify right side
    12,773x = 749,773,924
  5. Step 5: Solve for x
    x = 749,773,924/12,773
  6. Step 6: Final answer
    x = 58,699.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.