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Finding the Third Proportional to 2,069.53 and 2,284.18

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Solution

The third proportional to 2,069.53 and 2,284.18 is: 2,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.53 : 2,284.18 = 2,284.18 : x
  2. Step 2: Convert to fraction form
    2,069.53/2,284.18 = 2,284.18/x
  3. Step 3: Cross multiply
    2,069.53x = 2,284.18 × 2,284.18
  4. Step 4: Simplify right side
    2,069.53x = 5,217,461.23
  5. Step 5: Solve for x
    x = 5,217,461.23/2,069.53
  6. Step 6: Final answer
    x = 2,521.08

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.