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Finding the Third Proportional to 9,447 and 22,065

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Solution

The third proportional to 9,447 and 22,065 is: 51,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447 : 22,065 = 22,065 : x
  2. Step 2: Convert to fraction form
    9,447/22,065 = 22,065/x
  3. Step 3: Cross multiply
    9,447x = 22,065 × 22,065
  4. Step 4: Simplify right side
    9,447x = 486,864,225
  5. Step 5: Solve for x
    x = 486,864,225/9,447
  6. Step 6: Final answer
    x = 51,536.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.