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Finding the Third Proportional to 916.13 and 1,935.38

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Solution

The third proportional to 916.13 and 1,935.38 is: 4,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.13 : 1,935.38 = 1,935.38 : x
  2. Step 2: Convert to fraction form
    916.13/1,935.38 = 1,935.38/x
  3. Step 3: Cross multiply
    916.13x = 1,935.38 × 1,935.38
  4. Step 4: Simplify right side
    916.13x = 3,745,676.39
  5. Step 5: Solve for x
    x = 3,745,676.39/916.13
  6. Step 6: Final answer
    x = 4,088.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.