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Finding the Third Proportional to 24,770 and 51,988

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Solution

The third proportional to 24,770 and 51,988 is: 109,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770 : 51,988 = 51,988 : x
  2. Step 2: Convert to fraction form
    24,770/51,988 = 51,988/x
  3. Step 3: Cross multiply
    24,770x = 51,988 × 51,988
  4. Step 4: Simplify right side
    24,770x = 2,702,752,144
  5. Step 5: Solve for x
    x = 2,702,752,144/24,770
  6. Step 6: Final answer
    x = 109,113.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.