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Finding the Third Proportional to 10,762.24 and 23,777.93

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Solution

The third proportional to 10,762.24 and 23,777.93 is: 52,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.24 : 23,777.93 = 23,777.93 : x
  2. Step 2: Convert to fraction form
    10,762.24/23,777.93 = 23,777.93/x
  3. Step 3: Cross multiply
    10,762.24x = 23,777.93 × 23,777.93
  4. Step 4: Simplify right side
    10,762.24x = 565,389,940.22
  5. Step 5: Solve for x
    x = 565,389,940.22/10,762.24
  6. Step 6: Final answer
    x = 52,534.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.