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Finding the Third Proportional to 914.23 and 2,005.06

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Solution

The third proportional to 914.23 and 2,005.06 is: 4,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.23 : 2,005.06 = 2,005.06 : x
  2. Step 2: Convert to fraction form
    914.23/2,005.06 = 2,005.06/x
  3. Step 3: Cross multiply
    914.23x = 2,005.06 × 2,005.06
  4. Step 4: Simplify right side
    914.23x = 4,020,271.47
  5. Step 5: Solve for x
    x = 4,020,271.47/914.23
  6. Step 6: Final answer
    x = 4,397.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.