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Finding the Third Proportional to 9,756.07 and 23,350.78

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Solution

The third proportional to 9,756.07 and 23,350.78 is: 55,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.07 : 23,350.78 = 23,350.78 : x
  2. Step 2: Convert to fraction form
    9,756.07/23,350.78 = 23,350.78/x
  3. Step 3: Cross multiply
    9,756.07x = 23,350.78 × 23,350.78
  4. Step 4: Simplify right side
    9,756.07x = 545,258,984.99
  5. Step 5: Solve for x
    x = 545,258,984.99/9,756.07
  6. Step 6: Final answer
    x = 55,889.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.