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Finding the Third Proportional to 10,765.31 and 23,087.63

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Solution

The third proportional to 10,765.31 and 23,087.63 is: 49,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.31 : 23,087.63 = 23,087.63 : x
  2. Step 2: Convert to fraction form
    10,765.31/23,087.63 = 23,087.63/x
  3. Step 3: Cross multiply
    10,765.31x = 23,087.63 × 23,087.63
  4. Step 4: Simplify right side
    10,765.31x = 533,038,428.14
  5. Step 5: Solve for x
    x = 533,038,428.14/10,765.31
  6. Step 6: Final answer
    x = 49,514.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.