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Finding the Third Proportional to 10,309.23 and 22,495.77

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Solution

The third proportional to 10,309.23 and 22,495.77 is: 49,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.23 : 22,495.77 = 22,495.77 : x
  2. Step 2: Convert to fraction form
    10,309.23/22,495.77 = 22,495.77/x
  3. Step 3: Cross multiply
    10,309.23x = 22,495.77 × 22,495.77
  4. Step 4: Simplify right side
    10,309.23x = 506,059,778.61
  5. Step 5: Solve for x
    x = 506,059,778.61/10,309.23
  6. Step 6: Final answer
    x = 49,088.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.