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Finding the Third Proportional to 8,906.63 and 14,102.63

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Solution

The third proportional to 8,906.63 and 14,102.63 is: 22,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.63 : 14,102.63 = 14,102.63 : x
  2. Step 2: Convert to fraction form
    8,906.63/14,102.63 = 14,102.63/x
  3. Step 3: Cross multiply
    8,906.63x = 14,102.63 × 14,102.63
  4. Step 4: Simplify right side
    8,906.63x = 198,884,031.89
  5. Step 5: Solve for x
    x = 198,884,031.89/8,906.63
  6. Step 6: Final answer
    x = 22,329.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.