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Finding the Third Proportional to 10,023.75 and 23,203.13

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Solution

The third proportional to 10,023.75 and 23,203.13 is: 53,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.75 : 23,203.13 = 23,203.13 : x
  2. Step 2: Convert to fraction form
    10,023.75/23,203.13 = 23,203.13/x
  3. Step 3: Cross multiply
    10,023.75x = 23,203.13 × 23,203.13
  4. Step 4: Simplify right side
    10,023.75x = 538,385,009.77
  5. Step 5: Solve for x
    x = 538,385,009.77/10,023.75
  6. Step 6: Final answer
    x = 53,710.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.