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Finding the Third Proportional to 4,498 and 7,039

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Solution

The third proportional to 4,498 and 7,039 is: 11,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498 : 7,039 = 7,039 : x
  2. Step 2: Convert to fraction form
    4,498/7,039 = 7,039/x
  3. Step 3: Cross multiply
    4,498x = 7,039 × 7,039
  4. Step 4: Simplify right side
    4,498x = 49,547,521
  5. Step 5: Solve for x
    x = 49,547,521/4,498
  6. Step 6: Final answer
    x = 11,015.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.