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Finding the Third Proportional to 19,705 and 29,486

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Solution

The third proportional to 19,705 and 29,486 is: 44,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705 : 29,486 = 29,486 : x
  2. Step 2: Convert to fraction form
    19,705/29,486 = 29,486/x
  3. Step 3: Cross multiply
    19,705x = 29,486 × 29,486
  4. Step 4: Simplify right side
    19,705x = 869,424,196
  5. Step 5: Solve for x
    x = 869,424,196/19,705
  6. Step 6: Final answer
    x = 44,122.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.