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Finding the Third Proportional to 35,007 and 74,331

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Solution

The third proportional to 35,007 and 74,331 is: 157,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,007 : 74,331 = 74,331 : x
  2. Step 2: Convert to fraction form
    35,007/74,331 = 74,331/x
  3. Step 3: Cross multiply
    35,007x = 74,331 × 74,331
  4. Step 4: Simplify right side
    35,007x = 5,525,097,561
  5. Step 5: Solve for x
    x = 5,525,097,561/35,007
  6. Step 6: Final answer
    x = 157,828.36

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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.