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Finding the Third Proportional to 19,578 and 29,373

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Solution

The third proportional to 19,578 and 29,373 is: 44,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578 : 29,373 = 29,373 : x
  2. Step 2: Convert to fraction form
    19,578/29,373 = 29,373/x
  3. Step 3: Cross multiply
    19,578x = 29,373 × 29,373
  4. Step 4: Simplify right side
    19,578x = 862,773,129
  5. Step 5: Solve for x
    x = 862,773,129/19,578
  6. Step 6: Final answer
    x = 44,068.50

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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.