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Finding the Third Proportional to 35,133.75 and 47,503.13

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Solution

The third proportional to 35,133.75 and 47,503.13 is: 64,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,133.75 : 47,503.13 = 47,503.13 : x
  2. Step 2: Convert to fraction form
    35,133.75/47,503.13 = 47,503.13/x
  3. Step 3: Cross multiply
    35,133.75x = 47,503.13 × 47,503.13
  4. Step 4: Simplify right side
    35,133.75x = 2,256,546,884.77
  5. Step 5: Solve for x
    x = 2,256,546,884.77/35,133.75
  6. Step 6: Final answer
    x = 64,227.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.