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Finding the Third Proportional to 30,623 and 47,297

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Solution

The third proportional to 30,623 and 47,297 is: 73,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623 : 47,297 = 47,297 : x
  2. Step 2: Convert to fraction form
    30,623/47,297 = 47,297/x
  3. Step 3: Cross multiply
    30,623x = 47,297 × 47,297
  4. Step 4: Simplify right side
    30,623x = 2,237,006,209
  5. Step 5: Solve for x
    x = 2,237,006,209/30,623
  6. Step 6: Final answer
    x = 73,049.87

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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.