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Finding the Third Proportional to 8,913 and 14,296.50

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Solution

The third proportional to 8,913 and 14,296.50 is: 22,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913 : 14,296.50 = 14,296.50 : x
  2. Step 2: Convert to fraction form
    8,913/14,296.50 = 14,296.50/x
  3. Step 3: Cross multiply
    8,913x = 14,296.50 × 14,296.50
  4. Step 4: Simplify right side
    8,913x = 204,389,912.25
  5. Step 5: Solve for x
    x = 204,389,912.25/8,913
  6. Step 6: Final answer
    x = 22,931.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.