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Finding the Third Proportional to 7,999 and 17,442

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Solution

The third proportional to 7,999 and 17,442 is: 38,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999 : 17,442 = 17,442 : x
  2. Step 2: Convert to fraction form
    7,999/17,442 = 17,442/x
  3. Step 3: Cross multiply
    7,999x = 17,442 × 17,442
  4. Step 4: Simplify right side
    7,999x = 304,223,364
  5. Step 5: Solve for x
    x = 304,223,364/7,999
  6. Step 6: Final answer
    x = 38,032.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.