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Finding the Third Proportional to 10,435.50 and 23,203.13

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Solution

The third proportional to 10,435.50 and 23,203.13 is: 51,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.50 : 23,203.13 = 23,203.13 : x
  2. Step 2: Convert to fraction form
    10,435.50/23,203.13 = 23,203.13/x
  3. Step 3: Cross multiply
    10,435.50x = 23,203.13 × 23,203.13
  4. Step 4: Simplify right side
    10,435.50x = 538,385,009.77
  5. Step 5: Solve for x
    x = 538,385,009.77/10,435.50
  6. Step 6: Final answer
    x = 51,591.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.