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Finding the Third Proportional to 30,490 and 47,186

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Solution

The third proportional to 30,490 and 47,186 is: 73,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490 : 47,186 = 47,186 : x
  2. Step 2: Convert to fraction form
    30,490/47,186 = 47,186/x
  3. Step 3: Cross multiply
    30,490x = 47,186 × 47,186
  4. Step 4: Simplify right side
    30,490x = 2,226,518,596
  5. Step 5: Solve for x
    x = 2,226,518,596/30,490
  6. Step 6: Final answer
    x = 73,024.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.