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Finding the Third Proportional to 23,407.73 and 37,230.26

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Solution

The third proportional to 23,407.73 and 37,230.26 is: 59,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.73 : 37,230.26 = 37,230.26 : x
  2. Step 2: Convert to fraction form
    23,407.73/37,230.26 = 37,230.26/x
  3. Step 3: Cross multiply
    23,407.73x = 37,230.26 × 37,230.26
  4. Step 4: Simplify right side
    23,407.73x = 1,386,092,096.79
  5. Step 5: Solve for x
    x = 1,386,092,096.79/23,407.73
  6. Step 6: Final answer
    x = 59,215.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.