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Finding the Third Proportional to 19,210 and 29,399

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Solution

The third proportional to 19,210 and 29,399 is: 44,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,210 : 29,399 = 29,399 : x
  2. Step 2: Convert to fraction form
    19,210/29,399 = 29,399/x
  3. Step 3: Cross multiply
    19,210x = 29,399 × 29,399
  4. Step 4: Simplify right side
    19,210x = 864,301,201
  5. Step 5: Solve for x
    x = 864,301,201/19,210
  6. Step 6: Final answer
    x = 44,992.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.