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Finding the Third Proportional to 9,822 and 14,821.50

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Solution

The third proportional to 9,822 and 14,821.50 is: 22,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 14,821.50 = 14,821.50 : x
  2. Step 2: Convert to fraction form
    9,822/14,821.50 = 14,821.50/x
  3. Step 3: Cross multiply
    9,822x = 14,821.50 × 14,821.50
  4. Step 4: Simplify right side
    9,822x = 219,676,862.25
  5. Step 5: Solve for x
    x = 219,676,862.25/9,822
  6. Step 6: Final answer
    x = 22,365.80

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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.