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Finding the Third Proportional to 48,802.50 and 105,921

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Solution

The third proportional to 48,802.50 and 105,921 is: 229,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,802.50 : 105,921 = 105,921 : x
  2. Step 2: Convert to fraction form
    48,802.50/105,921 = 105,921/x
  3. Step 3: Cross multiply
    48,802.50x = 105,921 × 105,921
  4. Step 4: Simplify right side
    48,802.50x = 11,219,258,241
  5. Step 5: Solve for x
    x = 11,219,258,241/48,802.50
  6. Step 6: Final answer
    x = 229,891.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.