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Finding the Third Proportional to 47,493 and 70,507.50

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Solution

The third proportional to 47,493 and 70,507.50 is: 104,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,493 : 70,507.50 = 70,507.50 : x
  2. Step 2: Convert to fraction form
    47,493/70,507.50 = 70,507.50/x
  3. Step 3: Cross multiply
    47,493x = 70,507.50 × 70,507.50
  4. Step 4: Simplify right side
    47,493x = 4,971,307,556.25
  5. Step 5: Solve for x
    x = 4,971,307,556.25/47,493
  6. Step 6: Final answer
    x = 104,674.53

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.