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Finding the Third Proportional to 3,490.59 and 7,528.22

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Solution

The third proportional to 3,490.59 and 7,528.22 is: 16,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.59 : 7,528.22 = 7,528.22 : x
  2. Step 2: Convert to fraction form
    3,490.59/7,528.22 = 7,528.22/x
  3. Step 3: Cross multiply
    3,490.59x = 7,528.22 × 7,528.22
  4. Step 4: Simplify right side
    3,490.59x = 56,674,077.55
  5. Step 5: Solve for x
    x = 56,674,077.55/3,490.59
  6. Step 6: Final answer
    x = 16,236.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.