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Finding the Third Proportional to 23,529.23 and 51,345.14

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Solution

The third proportional to 23,529.23 and 51,345.14 is: 112,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.23 : 51,345.14 = 51,345.14 : x
  2. Step 2: Convert to fraction form
    23,529.23/51,345.14 = 51,345.14/x
  3. Step 3: Cross multiply
    23,529.23x = 51,345.14 × 51,345.14
  4. Step 4: Simplify right side
    23,529.23x = 2,636,323,465.80
  5. Step 5: Solve for x
    x = 2,636,323,465.80/23,529.23
  6. Step 6: Final answer
    x = 112,044.59

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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.