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Finding the Third Proportional to 904.92 and 1,026.42

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Solution

The third proportional to 904.92 and 1,026.42 is: 1,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.92 : 1,026.42 = 1,026.42 : x
  2. Step 2: Convert to fraction form
    904.92/1,026.42 = 1,026.42/x
  3. Step 3: Cross multiply
    904.92x = 1,026.42 × 1,026.42
  4. Step 4: Simplify right side
    904.92x = 1,053,541.87
  5. Step 5: Solve for x
    x = 1,053,541.87/904.92
  6. Step 6: Final answer
    x = 1,164.24

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.