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Finding the Third Proportional to 9,420.05 and 13,799.74

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Solution

The third proportional to 9,420.05 and 13,799.74 is: 20,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.05 : 13,799.74 = 13,799.74 : x
  2. Step 2: Convert to fraction form
    9,420.05/13,799.74 = 13,799.74/x
  3. Step 3: Cross multiply
    9,420.05x = 13,799.74 × 13,799.74
  4. Step 4: Simplify right side
    9,420.05x = 190,432,884.44
  5. Step 5: Solve for x
    x = 190,432,884.44/9,420.05
  6. Step 6: Final answer
    x = 20,215.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.