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Finding the Third Proportional to 9,905.63 and 16,286.06

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Solution

The third proportional to 9,905.63 and 16,286.06 is: 26,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.63 : 16,286.06 = 16,286.06 : x
  2. Step 2: Convert to fraction form
    9,905.63/16,286.06 = 16,286.06/x
  3. Step 3: Cross multiply
    9,905.63x = 16,286.06 × 16,286.06
  4. Step 4: Simplify right side
    9,905.63x = 265,235,831.75
  5. Step 5: Solve for x
    x = 265,235,831.75/9,905.63
  6. Step 6: Final answer
    x = 26,776.28

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.