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Finding the Third Proportional to 19,347 and 45,438

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Solution

The third proportional to 19,347 and 45,438 is: 106,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347 : 45,438 = 45,438 : x
  2. Step 2: Convert to fraction form
    19,347/45,438 = 45,438/x
  3. Step 3: Cross multiply
    19,347x = 45,438 × 45,438
  4. Step 4: Simplify right side
    19,347x = 2,064,611,844
  5. Step 5: Solve for x
    x = 2,064,611,844/19,347
  6. Step 6: Final answer
    x = 106,714.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.