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Finding the Third Proportional to 10,437.37 and 18,395.15

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Solution

The third proportional to 10,437.37 and 18,395.15 is: 32,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.37 : 18,395.15 = 18,395.15 : x
  2. Step 2: Convert to fraction form
    10,437.37/18,395.15 = 18,395.15/x
  3. Step 3: Cross multiply
    10,437.37x = 18,395.15 × 18,395.15
  4. Step 4: Simplify right side
    10,437.37x = 338,381,450.11
  5. Step 5: Solve for x
    x = 338,381,450.11/10,437.37
  6. Step 6: Final answer
    x = 32,420.18

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.