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Finding the Third Proportional to 15,233.06 and 23,541.05

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Solution

The third proportional to 15,233.06 and 23,541.05 is: 36,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.06 : 23,541.05 = 23,541.05 : x
  2. Step 2: Convert to fraction form
    15,233.06/23,541.05 = 23,541.05/x
  3. Step 3: Cross multiply
    15,233.06x = 23,541.05 × 23,541.05
  4. Step 4: Simplify right side
    15,233.06x = 554,180,887.97
  5. Step 5: Solve for x
    x = 554,180,887.97/15,233.06
  6. Step 6: Final answer
    x = 36,380.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.