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Finding the Third Proportional to 9,845.30 and 14,733.77

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Solution

The third proportional to 9,845.30 and 14,733.77 is: 22,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.30 : 14,733.77 = 14,733.77 : x
  2. Step 2: Convert to fraction form
    9,845.30/14,733.77 = 14,733.77/x
  3. Step 3: Cross multiply
    9,845.30x = 14,733.77 × 14,733.77
  4. Step 4: Simplify right side
    9,845.30x = 217,084,079.71
  5. Step 5: Solve for x
    x = 217,084,079.71/9,845.30
  6. Step 6: Final answer
    x = 22,049.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.