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Finding the Third Proportional to 48,787 and 73,564

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Solution

The third proportional to 48,787 and 73,564 is: 110,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,787 : 73,564 = 73,564 : x
  2. Step 2: Convert to fraction form
    48,787/73,564 = 73,564/x
  3. Step 3: Cross multiply
    48,787x = 73,564 × 73,564
  4. Step 4: Simplify right side
    48,787x = 5,411,662,096
  5. Step 5: Solve for x
    x = 5,411,662,096/48,787
  6. Step 6: Final answer
    x = 110,924.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.