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Finding the Third Proportional to 1,816.49 and 3,710.02

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Solution

The third proportional to 1,816.49 and 3,710.02 is: 7,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.49 : 3,710.02 = 3,710.02 : x
  2. Step 2: Convert to fraction form
    1,816.49/3,710.02 = 3,710.02/x
  3. Step 3: Cross multiply
    1,816.49x = 3,710.02 × 3,710.02
  4. Step 4: Simplify right side
    1,816.49x = 13,764,259.41
  5. Step 5: Solve for x
    x = 13,764,259.41/1,816.49
  6. Step 6: Final answer
    x = 7,577.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.