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Finding the Third Proportional to 9,792.84 and 14,918.77

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Solution

The third proportional to 9,792.84 and 14,918.77 is: 22,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.84 : 14,918.77 = 14,918.77 : x
  2. Step 2: Convert to fraction form
    9,792.84/14,918.77 = 14,918.77/x
  3. Step 3: Cross multiply
    9,792.84x = 14,918.77 × 14,918.77
  4. Step 4: Simplify right side
    9,792.84x = 222,569,567.77
  5. Step 5: Solve for x
    x = 222,569,567.77/9,792.84
  6. Step 6: Final answer
    x = 22,727.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.