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Finding the Third Proportional to 39,762.84 and 84,127.22

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Solution

The third proportional to 39,762.84 and 84,127.22 is: 177,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762.84 : 84,127.22 = 84,127.22 : x
  2. Step 2: Convert to fraction form
    39,762.84/84,127.22 = 84,127.22/x
  3. Step 3: Cross multiply
    39,762.84x = 84,127.22 × 84,127.22
  4. Step 4: Simplify right side
    39,762.84x = 7,077,388,934.61
  5. Step 5: Solve for x
    x = 7,077,388,934.61/39,762.84
  6. Step 6: Final answer
    x = 177,990.01

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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.