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Finding the Third Proportional to 22,117.50 and 46,285.31

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Solution

The third proportional to 22,117.50 and 46,285.31 is: 96,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.50 : 46,285.31 = 46,285.31 : x
  2. Step 2: Convert to fraction form
    22,117.50/46,285.31 = 46,285.31/x
  3. Step 3: Cross multiply
    22,117.50x = 46,285.31 × 46,285.31
  4. Step 4: Simplify right side
    22,117.50x = 2,142,330,153.22
  5. Step 5: Solve for x
    x = 2,142,330,153.22/22,117.50
  6. Step 6: Final answer
    x = 96,861.32

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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.