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Finding the Third Proportional to 19,506 and 28,839

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Solution

The third proportional to 19,506 and 28,839 is: 42,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506 : 28,839 = 28,839 : x
  2. Step 2: Convert to fraction form
    19,506/28,839 = 28,839/x
  3. Step 3: Cross multiply
    19,506x = 28,839 × 28,839
  4. Step 4: Simplify right side
    19,506x = 831,687,921
  5. Step 5: Solve for x
    x = 831,687,921/19,506
  6. Step 6: Final answer
    x = 42,637.54

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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.