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Finding the Third Proportional to 29,578.50 and 64,503

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Solution

The third proportional to 29,578.50 and 64,503 is: 140,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578.50 : 64,503 = 64,503 : x
  2. Step 2: Convert to fraction form
    29,578.50/64,503 = 64,503/x
  3. Step 3: Cross multiply
    29,578.50x = 64,503 × 64,503
  4. Step 4: Simplify right side
    29,578.50x = 4,160,637,009
  5. Step 5: Solve for x
    x = 4,160,637,009/29,578.50
  6. Step 6: Final answer
    x = 140,664.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.