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Finding the Third Proportional to 48,472 and 74,488

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Solution

The third proportional to 48,472 and 74,488 is: 114,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,472 : 74,488 = 74,488 : x
  2. Step 2: Convert to fraction form
    48,472/74,488 = 74,488/x
  3. Step 3: Cross multiply
    48,472x = 74,488 × 74,488
  4. Step 4: Simplify right side
    48,472x = 5,548,462,144
  5. Step 5: Solve for x
    x = 5,548,462,144/48,472
  6. Step 6: Final answer
    x = 114,467.37

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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.