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Finding the Third Proportional to 1,095.64 and 1,605.01

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Solution

The third proportional to 1,095.64 and 1,605.01 is: 2,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.64 : 1,605.01 = 1,605.01 : x
  2. Step 2: Convert to fraction form
    1,095.64/1,605.01 = 1,605.01/x
  3. Step 3: Cross multiply
    1,095.64x = 1,605.01 × 1,605.01
  4. Step 4: Simplify right side
    1,095.64x = 2,576,057.92
  5. Step 5: Solve for x
    x = 2,576,057.92/1,095.64
  6. Step 6: Final answer
    x = 2,351.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.