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Finding the Third Proportional to 48,454 and 74,836

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Solution

The third proportional to 48,454 and 74,836 is: 115,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,454 : 74,836 = 74,836 : x
  2. Step 2: Convert to fraction form
    48,454/74,836 = 74,836/x
  3. Step 3: Cross multiply
    48,454x = 74,836 × 74,836
  4. Step 4: Simplify right side
    48,454x = 5,600,426,896
  5. Step 5: Solve for x
    x = 5,600,426,896/48,454
  6. Step 6: Final answer
    x = 115,582.34

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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.