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Finding the Third Proportional to 13,219 and 29,030

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Solution

The third proportional to 13,219 and 29,030 is: 63,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219 : 29,030 = 29,030 : x
  2. Step 2: Convert to fraction form
    13,219/29,030 = 29,030/x
  3. Step 3: Cross multiply
    13,219x = 29,030 × 29,030
  4. Step 4: Simplify right side
    13,219x = 842,740,900
  5. Step 5: Solve for x
    x = 842,740,900/13,219
  6. Step 6: Final answer
    x = 63,752.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.