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Finding the Third Proportional to 51,009 and 93,633

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Solution

The third proportional to 51,009 and 93,633 is: 171,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009 : 93,633 = 93,633 : x
  2. Step 2: Convert to fraction form
    51,009/93,633 = 93,633/x
  3. Step 3: Cross multiply
    51,009x = 93,633 × 93,633
  4. Step 4: Simplify right side
    51,009x = 8,767,138,689
  5. Step 5: Solve for x
    x = 8,767,138,689/51,009
  6. Step 6: Final answer
    x = 171,874.35

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.