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Finding the Third Proportional to 29,767 and 40,426.25

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Solution

The third proportional to 29,767 and 40,426.25 is: 54,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767 : 40,426.25 = 40,426.25 : x
  2. Step 2: Convert to fraction form
    29,767/40,426.25 = 40,426.25/x
  3. Step 3: Cross multiply
    29,767x = 40,426.25 × 40,426.25
  4. Step 4: Simplify right side
    29,767x = 1,634,281,689.06
  5. Step 5: Solve for x
    x = 1,634,281,689.06/29,767
  6. Step 6: Final answer
    x = 54,902.47

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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.