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Finding the Third Proportional to 19,384 and 29,222

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Solution

The third proportional to 19,384 and 29,222 is: 44,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384 : 29,222 = 29,222 : x
  2. Step 2: Convert to fraction form
    19,384/29,222 = 29,222/x
  3. Step 3: Cross multiply
    19,384x = 29,222 × 29,222
  4. Step 4: Simplify right side
    19,384x = 853,925,284
  5. Step 5: Solve for x
    x = 853,925,284/19,384
  6. Step 6: Final answer
    x = 44,053.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.