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Finding the Third Proportional to 48,001 and 74,006.50

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Solution

The third proportional to 48,001 and 74,006.50 is: 114,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,001 : 74,006.50 = 74,006.50 : x
  2. Step 2: Convert to fraction form
    48,001/74,006.50 = 74,006.50/x
  3. Step 3: Cross multiply
    48,001x = 74,006.50 × 74,006.50
  4. Step 4: Simplify right side
    48,001x = 5,476,962,042.25
  5. Step 5: Solve for x
    x = 5,476,962,042.25/48,001
  6. Step 6: Final answer
    x = 114,101.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.