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Finding the Third Proportional to 20,654 and 45,264

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Solution

The third proportional to 20,654 and 45,264 is: 99,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654 : 45,264 = 45,264 : x
  2. Step 2: Convert to fraction form
    20,654/45,264 = 45,264/x
  3. Step 3: Cross multiply
    20,654x = 45,264 × 45,264
  4. Step 4: Simplify right side
    20,654x = 2,048,829,696
  5. Step 5: Solve for x
    x = 2,048,829,696/20,654
  6. Step 6: Final answer
    x = 99,197.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.