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Finding the Third Proportional to 28,566 and 47,007

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Solution

The third proportional to 28,566 and 47,007 is: 77,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,566 : 47,007 = 47,007 : x
  2. Step 2: Convert to fraction form
    28,566/47,007 = 47,007/x
  3. Step 3: Cross multiply
    28,566x = 47,007 × 47,007
  4. Step 4: Simplify right side
    28,566x = 2,209,658,049
  5. Step 5: Solve for x
    x = 2,209,658,049/28,566
  6. Step 6: Final answer
    x = 77,352.73

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.