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Finding the Third Proportional to 1,648.93 and 3,528.52

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Solution

The third proportional to 1,648.93 and 3,528.52 is: 7,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.93 : 3,528.52 = 3,528.52 : x
  2. Step 2: Convert to fraction form
    1,648.93/3,528.52 = 3,528.52/x
  3. Step 3: Cross multiply
    1,648.93x = 3,528.52 × 3,528.52
  4. Step 4: Simplify right side
    1,648.93x = 12,450,443.19
  5. Step 5: Solve for x
    x = 12,450,443.19/1,648.93
  6. Step 6: Final answer
    x = 7,550.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.