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Finding the Third Proportional to 909.38 and 1,926.94

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Solution

The third proportional to 909.38 and 1,926.94 is: 4,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.38 : 1,926.94 = 1,926.94 : x
  2. Step 2: Convert to fraction form
    909.38/1,926.94 = 1,926.94/x
  3. Step 3: Cross multiply
    909.38x = 1,926.94 × 1,926.94
  4. Step 4: Simplify right side
    909.38x = 3,713,088.13
  5. Step 5: Solve for x
    x = 3,713,088.13/909.38
  6. Step 6: Final answer
    x = 4,083.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.