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Finding the Third Proportional to 9,166.92 and 20,085.47

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Solution

The third proportional to 9,166.92 and 20,085.47 is: 44,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.92 : 20,085.47 = 20,085.47 : x
  2. Step 2: Convert to fraction form
    9,166.92/20,085.47 = 20,085.47/x
  3. Step 3: Cross multiply
    9,166.92x = 20,085.47 × 20,085.47
  4. Step 4: Simplify right side
    9,166.92x = 403,426,054.91
  5. Step 5: Solve for x
    x = 403,426,054.91/9,166.92
  6. Step 6: Final answer
    x = 44,008.89

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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.