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Finding the Third Proportional to 39,912 and 83,952

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Solution

The third proportional to 39,912 and 83,952 is: 176,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,912 : 83,952 = 83,952 : x
  2. Step 2: Convert to fraction form
    39,912/83,952 = 83,952/x
  3. Step 3: Cross multiply
    39,912x = 83,952 × 83,952
  4. Step 4: Simplify right side
    39,912x = 7,047,938,304
  5. Step 5: Solve for x
    x = 7,047,938,304/39,912
  6. Step 6: Final answer
    x = 176,586.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.