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Finding the Third Proportional to 1,055.06 and 2,295.92

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Solution

The third proportional to 1,055.06 and 2,295.92 is: 4,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.06 : 2,295.92 = 2,295.92 : x
  2. Step 2: Convert to fraction form
    1,055.06/2,295.92 = 2,295.92/x
  3. Step 3: Cross multiply
    1,055.06x = 2,295.92 × 2,295.92
  4. Step 4: Simplify right side
    1,055.06x = 5,271,261.74
  5. Step 5: Solve for x
    x = 5,271,261.74/1,055.06
  6. Step 6: Final answer
    x = 4,996.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.