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Finding the Third Proportional to 39,576 and 93,426

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Solution

The third proportional to 39,576 and 93,426 is: 220,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,576 : 93,426 = 93,426 : x
  2. Step 2: Convert to fraction form
    39,576/93,426 = 93,426/x
  3. Step 3: Cross multiply
    39,576x = 93,426 × 93,426
  4. Step 4: Simplify right side
    39,576x = 8,728,417,476
  5. Step 5: Solve for x
    x = 8,728,417,476/39,576
  6. Step 6: Final answer
    x = 220,548.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.