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Finding the Third Proportional to 40,525.59 and 65,113.03

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Solution

The third proportional to 40,525.59 and 65,113.03 is: 104,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,525.59 : 65,113.03 = 65,113.03 : x
  2. Step 2: Convert to fraction form
    40,525.59/65,113.03 = 65,113.03/x
  3. Step 3: Cross multiply
    40,525.59x = 65,113.03 × 65,113.03
  4. Step 4: Simplify right side
    40,525.59x = 4,239,706,838.56
  5. Step 5: Solve for x
    x = 4,239,706,838.56/40,525.59
  6. Step 6: Final answer
    x = 104,618.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.