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Finding the Third Proportional to 29,767.50 and 40,538.25

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Solution

The third proportional to 29,767.50 and 40,538.25 is: 55,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.50 : 40,538.25 = 40,538.25 : x
  2. Step 2: Convert to fraction form
    29,767.50/40,538.25 = 40,538.25/x
  3. Step 3: Cross multiply
    29,767.50x = 40,538.25 × 40,538.25
  4. Step 4: Simplify right side
    29,767.50x = 1,643,349,713.06
  5. Step 5: Solve for x
    x = 1,643,349,713.06/29,767.50
  6. Step 6: Final answer
    x = 55,206.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.