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Finding the Third Proportional to 11,569.50 and 23,959.13

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Solution

The third proportional to 11,569.50 and 23,959.13 is: 49,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.50 : 23,959.13 = 23,959.13 : x
  2. Step 2: Convert to fraction form
    11,569.50/23,959.13 = 23,959.13/x
  3. Step 3: Cross multiply
    11,569.50x = 23,959.13 × 23,959.13
  4. Step 4: Simplify right side
    11,569.50x = 574,039,670.77
  5. Step 5: Solve for x
    x = 574,039,670.77/11,569.50
  6. Step 6: Final answer
    x = 49,616.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.