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Finding the Third Proportional to 13,061 and 19,317

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Solution

The third proportional to 13,061 and 19,317 is: 28,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061 : 19,317 = 19,317 : x
  2. Step 2: Convert to fraction form
    13,061/19,317 = 19,317/x
  3. Step 3: Cross multiply
    13,061x = 19,317 × 19,317
  4. Step 4: Simplify right side
    13,061x = 373,146,489
  5. Step 5: Solve for x
    x = 373,146,489/13,061
  6. Step 6: Final answer
    x = 28,569.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.