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Finding the Third Proportional to 10,580.63 and 23,250.38

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Solution

The third proportional to 10,580.63 and 23,250.38 is: 51,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.63 : 23,250.38 = 23,250.38 : x
  2. Step 2: Convert to fraction form
    10,580.63/23,250.38 = 23,250.38/x
  3. Step 3: Cross multiply
    10,580.63x = 23,250.38 × 23,250.38
  4. Step 4: Simplify right side
    10,580.63x = 540,579,937.64
  5. Step 5: Solve for x
    x = 540,579,937.64/10,580.63
  6. Step 6: Final answer
    x = 51,091.49

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