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Finding the Third Proportional to 3,436.17 and 7,530.05

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Solution

The third proportional to 3,436.17 and 7,530.05 is: 16,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.17 : 7,530.05 = 7,530.05 : x
  2. Step 2: Convert to fraction form
    3,436.17/7,530.05 = 7,530.05/x
  3. Step 3: Cross multiply
    3,436.17x = 7,530.05 × 7,530.05
  4. Step 4: Simplify right side
    3,436.17x = 56,701,605.94
  5. Step 5: Solve for x
    x = 56,701,605.94/3,436.17
  6. Step 6: Final answer
    x = 16,501.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.