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Finding the Third Proportional to 9,882 and 18,528.75

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Solution

The third proportional to 9,882 and 18,528.75 is: 34,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882 : 18,528.75 = 18,528.75 : x
  2. Step 2: Convert to fraction form
    9,882/18,528.75 = 18,528.75/x
  3. Step 3: Cross multiply
    9,882x = 18,528.75 × 18,528.75
  4. Step 4: Simplify right side
    9,882x = 343,314,576.56
  5. Step 5: Solve for x
    x = 343,314,576.56/9,882
  6. Step 6: Final answer
    x = 34,741.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.