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Finding the Third Proportional to 20,773 and 45,070

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Solution

The third proportional to 20,773 and 45,070 is: 97,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773 : 45,070 = 45,070 : x
  2. Step 2: Convert to fraction form
    20,773/45,070 = 45,070/x
  3. Step 3: Cross multiply
    20,773x = 45,070 × 45,070
  4. Step 4: Simplify right side
    20,773x = 2,031,304,900
  5. Step 5: Solve for x
    x = 2,031,304,900/20,773
  6. Step 6: Final answer
    x = 97,785.82

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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.