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Finding the Third Proportional to 9,721.50 and 14,579

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Solution

The third proportional to 9,721.50 and 14,579 is: 21,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.50 : 14,579 = 14,579 : x
  2. Step 2: Convert to fraction form
    9,721.50/14,579 = 14,579/x
  3. Step 3: Cross multiply
    9,721.50x = 14,579 × 14,579
  4. Step 4: Simplify right side
    9,721.50x = 212,547,241
  5. Step 5: Solve for x
    x = 212,547,241/9,721.50
  6. Step 6: Final answer
    x = 21,863.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.