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Finding the Third Proportional to 30,714 and 46,287

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Solution

The third proportional to 30,714 and 46,287 is: 69,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714 : 46,287 = 46,287 : x
  2. Step 2: Convert to fraction form
    30,714/46,287 = 46,287/x
  3. Step 3: Cross multiply
    30,714x = 46,287 × 46,287
  4. Step 4: Simplify right side
    30,714x = 2,142,486,369
  5. Step 5: Solve for x
    x = 2,142,486,369/30,714
  6. Step 6: Final answer
    x = 69,756.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.