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Finding the Third Proportional to 10,177.31 and 22,095.07

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Solution

The third proportional to 10,177.31 and 22,095.07 is: 47,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.31 : 22,095.07 = 22,095.07 : x
  2. Step 2: Convert to fraction form
    10,177.31/22,095.07 = 22,095.07/x
  3. Step 3: Cross multiply
    10,177.31x = 22,095.07 × 22,095.07
  4. Step 4: Simplify right side
    10,177.31x = 488,192,132.11
  5. Step 5: Solve for x
    x = 488,192,132.11/10,177.31
  6. Step 6: Final answer
    x = 47,968.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.