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Finding the Third Proportional to 23,773 and 52,082

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Solution

The third proportional to 23,773 and 52,082 is: 114,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773 : 52,082 = 52,082 : x
  2. Step 2: Convert to fraction form
    23,773/52,082 = 52,082/x
  3. Step 3: Cross multiply
    23,773x = 52,082 × 52,082
  4. Step 4: Simplify right side
    23,773x = 2,712,534,724
  5. Step 5: Solve for x
    x = 2,712,534,724/23,773
  6. Step 6: Final answer
    x = 114,101.49

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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.