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Finding the Third Proportional to 20,755 and 45,038

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Solution

The third proportional to 20,755 and 45,038 is: 97,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755 : 45,038 = 45,038 : x
  2. Step 2: Convert to fraction form
    20,755/45,038 = 45,038/x
  3. Step 3: Cross multiply
    20,755x = 45,038 × 45,038
  4. Step 4: Simplify right side
    20,755x = 2,028,421,444
  5. Step 5: Solve for x
    x = 2,028,421,444/20,755
  6. Step 6: Final answer
    x = 97,731.70

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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.