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Finding the Third Proportional to 8,905.88 and 13,897.78

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Solution

The third proportional to 8,905.88 and 13,897.78 is: 21,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.88 : 13,897.78 = 13,897.78 : x
  2. Step 2: Convert to fraction form
    8,905.88/13,897.78 = 13,897.78/x
  3. Step 3: Cross multiply
    8,905.88x = 13,897.78 × 13,897.78
  4. Step 4: Simplify right side
    8,905.88x = 193,148,323.67
  5. Step 5: Solve for x
    x = 193,148,323.67/8,905.88
  6. Step 6: Final answer
    x = 21,687.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.