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Finding the Third Proportional to 12,713 and 19,773

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Solution

The third proportional to 12,713 and 19,773 is: 30,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713 : 19,773 = 19,773 : x
  2. Step 2: Convert to fraction form
    12,713/19,773 = 19,773/x
  3. Step 3: Cross multiply
    12,713x = 19,773 × 19,773
  4. Step 4: Simplify right side
    12,713x = 390,971,529
  5. Step 5: Solve for x
    x = 390,971,529/12,713
  6. Step 6: Final answer
    x = 30,753.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.