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Finding the Third Proportional to 9,606.94 and 14,312.53

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Solution

The third proportional to 9,606.94 and 14,312.53 is: 21,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.94 : 14,312.53 = 14,312.53 : x
  2. Step 2: Convert to fraction form
    9,606.94/14,312.53 = 14,312.53/x
  3. Step 3: Cross multiply
    9,606.94x = 14,312.53 × 14,312.53
  4. Step 4: Simplify right side
    9,606.94x = 204,848,550.78
  5. Step 5: Solve for x
    x = 204,848,550.78/9,606.94
  6. Step 6: Final answer
    x = 21,322.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.