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Finding the Third Proportional to 8,973 and 12,573.88

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Solution

The third proportional to 8,973 and 12,573.88 is: 17,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973 : 12,573.88 = 12,573.88 : x
  2. Step 2: Convert to fraction form
    8,973/12,573.88 = 12,573.88/x
  3. Step 3: Cross multiply
    8,973x = 12,573.88 × 12,573.88
  4. Step 4: Simplify right side
    8,973x = 158,102,332.52
  5. Step 5: Solve for x
    x = 158,102,332.52/8,973
  6. Step 6: Final answer
    x = 17,619.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.