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Finding the Third Proportional to 4,823.06 and 10,569.38

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Solution

The third proportional to 4,823.06 and 10,569.38 is: 23,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.06 : 10,569.38 = 10,569.38 : x
  2. Step 2: Convert to fraction form
    4,823.06/10,569.38 = 10,569.38/x
  3. Step 3: Cross multiply
    4,823.06x = 10,569.38 × 10,569.38
  4. Step 4: Simplify right side
    4,823.06x = 111,711,687.89
  5. Step 5: Solve for x
    x = 111,711,687.89/4,823.06
  6. Step 6: Final answer
    x = 23,161.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.