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Finding the Third Proportional to 13,070 and 19,727

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Solution

The third proportional to 13,070 and 19,727 is: 29,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070 : 19,727 = 19,727 : x
  2. Step 2: Convert to fraction form
    13,070/19,727 = 19,727/x
  3. Step 3: Cross multiply
    13,070x = 19,727 × 19,727
  4. Step 4: Simplify right side
    13,070x = 389,154,529
  5. Step 5: Solve for x
    x = 389,154,529/13,070
  6. Step 6: Final answer
    x = 29,774.64

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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.