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Finding the Third Proportional to 19,737 and 30,579

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Solution

The third proportional to 19,737 and 30,579 is: 47,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 30,579 = 30,579 : x
  2. Step 2: Convert to fraction form
    19,737/30,579 = 30,579/x
  3. Step 3: Cross multiply
    19,737x = 30,579 × 30,579
  4. Step 4: Simplify right side
    19,737x = 935,075,241
  5. Step 5: Solve for x
    x = 935,075,241/19,737
  6. Step 6: Final answer
    x = 47,376.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.