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Finding the Third Proportional to 2,091.13 and 4,526.82

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Solution

The third proportional to 2,091.13 and 4,526.82 is: 9,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.13 : 4,526.82 = 4,526.82 : x
  2. Step 2: Convert to fraction form
    2,091.13/4,526.82 = 4,526.82/x
  3. Step 3: Cross multiply
    2,091.13x = 4,526.82 × 4,526.82
  4. Step 4: Simplify right side
    2,091.13x = 20,492,137.51
  5. Step 5: Solve for x
    x = 20,492,137.51/2,091.13
  6. Step 6: Final answer
    x = 9,799.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.