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Finding the Third Proportional to 8,564 and 14,628

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Solution

The third proportional to 8,564 and 14,628 is: 24,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564 : 14,628 = 14,628 : x
  2. Step 2: Convert to fraction form
    8,564/14,628 = 14,628/x
  3. Step 3: Cross multiply
    8,564x = 14,628 × 14,628
  4. Step 4: Simplify right side
    8,564x = 213,978,384
  5. Step 5: Solve for x
    x = 213,978,384/8,564
  6. Step 6: Final answer
    x = 24,985.80

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.