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Finding the Third Proportional to 5,220 and 10,695.94

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Solution

The third proportional to 5,220 and 10,695.94 is: 21,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220 : 10,695.94 = 10,695.94 : x
  2. Step 2: Convert to fraction form
    5,220/10,695.94 = 10,695.94/x
  3. Step 3: Cross multiply
    5,220x = 10,695.94 × 10,695.94
  4. Step 4: Simplify right side
    5,220x = 114,403,079.00
  5. Step 5: Solve for x
    x = 114,403,079.00/5,220
  6. Step 6: Final answer
    x = 21,916.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.