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Finding the Third Proportional to 2,069.53 and 3,043.43

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Solution

The third proportional to 2,069.53 and 3,043.43 is: 4,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.53 : 3,043.43 = 3,043.43 : x
  2. Step 2: Convert to fraction form
    2,069.53/3,043.43 = 3,043.43/x
  3. Step 3: Cross multiply
    2,069.53x = 3,043.43 × 3,043.43
  4. Step 4: Simplify right side
    2,069.53x = 9,262,482.10
  5. Step 5: Solve for x
    x = 9,262,482.10/2,069.53
  6. Step 6: Final answer
    x = 4,475.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.