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Finding the Third Proportional to 10,701 and 24,603

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Solution

The third proportional to 10,701 and 24,603 is: 56,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701 : 24,603 = 24,603 : x
  2. Step 2: Convert to fraction form
    10,701/24,603 = 24,603/x
  3. Step 3: Cross multiply
    10,701x = 24,603 × 24,603
  4. Step 4: Simplify right side
    10,701x = 605,307,609
  5. Step 5: Solve for x
    x = 605,307,609/10,701
  6. Step 6: Final answer
    x = 56,565.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.