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Finding the Third Proportional to 19,127.25 and 40,527.56

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Solution

The third proportional to 19,127.25 and 40,527.56 is: 85,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,127.25 : 40,527.56 = 40,527.56 : x
  2. Step 2: Convert to fraction form
    19,127.25/40,527.56 = 40,527.56/x
  3. Step 3: Cross multiply
    19,127.25x = 40,527.56 × 40,527.56
  4. Step 4: Simplify right side
    19,127.25x = 1,642,483,322.19
  5. Step 5: Solve for x
    x = 1,642,483,322.19/19,127.25
  6. Step 6: Final answer
    x = 85,871.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.