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Finding the Third Proportional to 29,320 and 47,300

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Solution

The third proportional to 29,320 and 47,300 is: 76,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,320 : 47,300 = 47,300 : x
  2. Step 2: Convert to fraction form
    29,320/47,300 = 47,300/x
  3. Step 3: Cross multiply
    29,320x = 47,300 × 47,300
  4. Step 4: Simplify right side
    29,320x = 2,237,290,000
  5. Step 5: Solve for x
    x = 2,237,290,000/29,320
  6. Step 6: Final answer
    x = 76,305.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.