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Finding the Third Proportional to 18,465.26 and 40,272.40

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Solution

The third proportional to 18,465.26 and 40,272.40 is: 87,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,465.26 : 40,272.40 = 40,272.40 : x
  2. Step 2: Convert to fraction form
    18,465.26/40,272.40 = 40,272.40/x
  3. Step 3: Cross multiply
    18,465.26x = 40,272.40 × 40,272.40
  4. Step 4: Simplify right side
    18,465.26x = 1,621,866,075.91
  5. Step 5: Solve for x
    x = 1,621,866,075.91/18,465.26
  6. Step 6: Final answer
    x = 87,833.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.