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Finding the Third Proportional to 30,709.13 and 35,736.19

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Solution

The third proportional to 30,709.13 and 35,736.19 is: 41,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 35,736.19 = 35,736.19 : x
  2. Step 2: Convert to fraction form
    30,709.13/35,736.19 = 35,736.19/x
  3. Step 3: Cross multiply
    30,709.13x = 35,736.19 × 35,736.19
  4. Step 4: Simplify right side
    30,709.13x = 1,277,075,097.04
  5. Step 5: Solve for x
    x = 1,277,075,097.04/30,709.13
  6. Step 6: Final answer
    x = 41,586.18

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.