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Finding the Third Proportional to 34,299 and 74,882.25

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Solution

The third proportional to 34,299 and 74,882.25 is: 163,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,299 : 74,882.25 = 74,882.25 : x
  2. Step 2: Convert to fraction form
    34,299/74,882.25 = 74,882.25/x
  3. Step 3: Cross multiply
    34,299x = 74,882.25 × 74,882.25
  4. Step 4: Simplify right side
    34,299x = 5,607,351,365.06
  5. Step 5: Solve for x
    x = 5,607,351,365.06/34,299
  6. Step 6: Final answer
    x = 163,484.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.