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Finding the Third Proportional to 4,762.55 and 10,261.69

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Solution

The third proportional to 4,762.55 and 10,261.69 is: 22,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.55 : 10,261.69 = 10,261.69 : x
  2. Step 2: Convert to fraction form
    4,762.55/10,261.69 = 10,261.69/x
  3. Step 3: Cross multiply
    4,762.55x = 10,261.69 × 10,261.69
  4. Step 4: Simplify right side
    4,762.55x = 105,302,230.35
  5. Step 5: Solve for x
    x = 105,302,230.35/4,762.55
  6. Step 6: Final answer
    x = 22,110.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.