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Finding the Third Proportional to 15,323.06 and 23,429.81

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Solution

The third proportional to 15,323.06 and 23,429.81 is: 35,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323.06 : 23,429.81 = 23,429.81 : x
  2. Step 2: Convert to fraction form
    15,323.06/23,429.81 = 23,429.81/x
  3. Step 3: Cross multiply
    15,323.06x = 23,429.81 × 23,429.81
  4. Step 4: Simplify right side
    15,323.06x = 548,956,113.79
  5. Step 5: Solve for x
    x = 548,956,113.79/15,323.06
  6. Step 6: Final answer
    x = 35,825.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.