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Finding the Third Proportional to 908.64 and 1,875.66

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Solution

The third proportional to 908.64 and 1,875.66 is: 3,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.64 : 1,875.66 = 1,875.66 : x
  2. Step 2: Convert to fraction form
    908.64/1,875.66 = 1,875.66/x
  3. Step 3: Cross multiply
    908.64x = 1,875.66 × 1,875.66
  4. Step 4: Simplify right side
    908.64x = 3,518,086.37
  5. Step 5: Solve for x
    x = 3,518,086.37/908.64
  6. Step 6: Final answer
    x = 3,871.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.