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Finding the Third Proportional to 4,920.19 and 10,618.31

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Solution

The third proportional to 4,920.19 and 10,618.31 is: 22,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.19 : 10,618.31 = 10,618.31 : x
  2. Step 2: Convert to fraction form
    4,920.19/10,618.31 = 10,618.31/x
  3. Step 3: Cross multiply
    4,920.19x = 10,618.31 × 10,618.31
  4. Step 4: Simplify right side
    4,920.19x = 112,748,560.35
  5. Step 5: Solve for x
    x = 112,748,560.35/4,920.19
  6. Step 6: Final answer
    x = 22,915.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.