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Finding the Third Proportional to 19,215 and 29,674

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Solution

The third proportional to 19,215 and 29,674 is: 45,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,215 : 29,674 = 29,674 : x
  2. Step 2: Convert to fraction form
    19,215/29,674 = 29,674/x
  3. Step 3: Cross multiply
    19,215x = 29,674 × 29,674
  4. Step 4: Simplify right side
    19,215x = 880,546,276
  5. Step 5: Solve for x
    x = 880,546,276/19,215
  6. Step 6: Final answer
    x = 45,825.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.