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Finding the Third Proportional to 4,508.79 and 9,892.76

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Solution

The third proportional to 4,508.79 and 9,892.76 is: 21,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.79 : 9,892.76 = 9,892.76 : x
  2. Step 2: Convert to fraction form
    4,508.79/9,892.76 = 9,892.76/x
  3. Step 3: Cross multiply
    4,508.79x = 9,892.76 × 9,892.76
  4. Step 4: Simplify right side
    4,508.79x = 97,866,657.14
  5. Step 5: Solve for x
    x = 97,866,657.14/4,508.79
  6. Step 6: Final answer
    x = 21,705.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.