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Finding the Third Proportional to 45,950.44 and 70,277.44

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Solution

The third proportional to 45,950.44 and 70,277.44 is: 107,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,950.44 : 70,277.44 = 70,277.44 : x
  2. Step 2: Convert to fraction form
    45,950.44/70,277.44 = 70,277.44/x
  3. Step 3: Cross multiply
    45,950.44x = 70,277.44 × 70,277.44
  4. Step 4: Simplify right side
    45,950.44x = 4,938,918,221.57
  5. Step 5: Solve for x
    x = 4,938,918,221.57/45,950.44
  6. Step 6: Final answer
    x = 107,483.60

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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.