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Finding the Third Proportional to 10,580.63 and 23,257.13

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Solution

The third proportional to 10,580.63 and 23,257.13 is: 51,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.63 : 23,257.13 = 23,257.13 : x
  2. Step 2: Convert to fraction form
    10,580.63/23,257.13 = 23,257.13/x
  3. Step 3: Cross multiply
    10,580.63x = 23,257.13 × 23,257.13
  4. Step 4: Simplify right side
    10,580.63x = 540,893,863.27
  5. Step 5: Solve for x
    x = 540,893,863.27/10,580.63
  6. Step 6: Final answer
    x = 51,121.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.