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Finding the Third Proportional to 4,965.47 and 10,865.81

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Solution

The third proportional to 4,965.47 and 10,865.81 is: 23,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.47 : 10,865.81 = 10,865.81 : x
  2. Step 2: Convert to fraction form
    4,965.47/10,865.81 = 10,865.81/x
  3. Step 3: Cross multiply
    4,965.47x = 10,865.81 × 10,865.81
  4. Step 4: Simplify right side
    4,965.47x = 118,065,881.29
  5. Step 5: Solve for x
    x = 118,065,881.29/4,965.47
  6. Step 6: Final answer
    x = 23,777.39

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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.