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Finding the Third Proportional to 30,559.50 and 40,200.19

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Solution

The third proportional to 30,559.50 and 40,200.19 is: 52,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,559.50 : 40,200.19 = 40,200.19 : x
  2. Step 2: Convert to fraction form
    30,559.50/40,200.19 = 40,200.19/x
  3. Step 3: Cross multiply
    30,559.50x = 40,200.19 × 40,200.19
  4. Step 4: Simplify right side
    30,559.50x = 1,616,055,075.04
  5. Step 5: Solve for x
    x = 1,616,055,075.04/30,559.50
  6. Step 6: Final answer
    x = 52,882.25

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.