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Finding the Third Proportional to 40,075.75 and 62,540

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Solution

The third proportional to 40,075.75 and 62,540 is: 97,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,075.75 : 62,540 = 62,540 : x
  2. Step 2: Convert to fraction form
    40,075.75/62,540 = 62,540/x
  3. Step 3: Cross multiply
    40,075.75x = 62,540 × 62,540
  4. Step 4: Simplify right side
    40,075.75x = 3,911,251,600
  5. Step 5: Solve for x
    x = 3,911,251,600/40,075.75
  6. Step 6: Final answer
    x = 97,596.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.