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Finding the Third Proportional to 48,802.50 and 101,841

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Solution

The third proportional to 48,802.50 and 101,841 is: 212,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,802.50 : 101,841 = 101,841 : x
  2. Step 2: Convert to fraction form
    48,802.50/101,841 = 101,841/x
  3. Step 3: Cross multiply
    48,802.50x = 101,841 × 101,841
  4. Step 4: Simplify right side
    48,802.50x = 10,371,589,281
  5. Step 5: Solve for x
    x = 10,371,589,281/48,802.50
  6. Step 6: Final answer
    x = 212,521.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.