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Finding the Third Proportional to 885.94 and 1,925.81

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Solution

The third proportional to 885.94 and 1,925.81 is: 4,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.94 : 1,925.81 = 1,925.81 : x
  2. Step 2: Convert to fraction form
    885.94/1,925.81 = 1,925.81/x
  3. Step 3: Cross multiply
    885.94x = 1,925.81 × 1,925.81
  4. Step 4: Simplify right side
    885.94x = 3,708,753.79
  5. Step 5: Solve for x
    x = 3,708,753.79/885.94
  6. Step 6: Final answer
    x = 4,186.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.