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Finding the Third Proportional to 9,294 and 20,442

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Solution

The third proportional to 9,294 and 20,442 is: 44,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294 : 20,442 = 20,442 : x
  2. Step 2: Convert to fraction form
    9,294/20,442 = 20,442/x
  3. Step 3: Cross multiply
    9,294x = 20,442 × 20,442
  4. Step 4: Simplify right side
    9,294x = 417,875,364
  5. Step 5: Solve for x
    x = 417,875,364/9,294
  6. Step 6: Final answer
    x = 44,961.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.