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Finding the Third Proportional to 9,799.88 and 14,790.94

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Solution

The third proportional to 9,799.88 and 14,790.94 is: 22,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.88 : 14,790.94 = 14,790.94 : x
  2. Step 2: Convert to fraction form
    9,799.88/14,790.94 = 14,790.94/x
  3. Step 3: Cross multiply
    9,799.88x = 14,790.94 × 14,790.94
  4. Step 4: Simplify right side
    9,799.88x = 218,771,832.13
  5. Step 5: Solve for x
    x = 218,771,832.13/9,799.88
  6. Step 6: Final answer
    x = 22,323.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.