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Finding the Third Proportional to 24,709 and 51,053

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Solution

The third proportional to 24,709 and 51,053 is: 105,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709 : 51,053 = 51,053 : x
  2. Step 2: Convert to fraction form
    24,709/51,053 = 51,053/x
  3. Step 3: Cross multiply
    24,709x = 51,053 × 51,053
  4. Step 4: Simplify right side
    24,709x = 2,606,408,809
  5. Step 5: Solve for x
    x = 2,606,408,809/24,709
  6. Step 6: Final answer
    x = 105,484.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.