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Finding the Third Proportional to 30,046 and 47,132

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Solution

The third proportional to 30,046 and 47,132 is: 73,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046 : 47,132 = 47,132 : x
  2. Step 2: Convert to fraction form
    30,046/47,132 = 47,132/x
  3. Step 3: Cross multiply
    30,046x = 47,132 × 47,132
  4. Step 4: Simplify right side
    30,046x = 2,221,425,424
  5. Step 5: Solve for x
    x = 2,221,425,424/30,046
  6. Step 6: Final answer
    x = 73,934.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.