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Finding the Third Proportional to 22,963.50 and 35,204.63

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Solution

The third proportional to 22,963.50 and 35,204.63 is: 53,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 35,204.63 = 35,204.63 : x
  2. Step 2: Convert to fraction form
    22,963.50/35,204.63 = 35,204.63/x
  3. Step 3: Cross multiply
    22,963.50x = 35,204.63 × 35,204.63
  4. Step 4: Simplify right side
    22,963.50x = 1,239,365,621.39
  5. Step 5: Solve for x
    x = 1,239,365,621.39/22,963.50
  6. Step 6: Final answer
    x = 53,971.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.