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Finding the Third Proportional to 34,749 and 55,950.75

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Solution

The third proportional to 34,749 and 55,950.75 is: 90,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749 : 55,950.75 = 55,950.75 : x
  2. Step 2: Convert to fraction form
    34,749/55,950.75 = 55,950.75/x
  3. Step 3: Cross multiply
    34,749x = 55,950.75 × 55,950.75
  4. Step 4: Simplify right side
    34,749x = 3,130,486,425.56
  5. Step 5: Solve for x
    x = 3,130,486,425.56/34,749
  6. Step 6: Final answer
    x = 90,088.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.