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Finding the Third Proportional to 9,893.81 and 14,576.63

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Solution

The third proportional to 9,893.81 and 14,576.63 is: 21,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.81 : 14,576.63 = 14,576.63 : x
  2. Step 2: Convert to fraction form
    9,893.81/14,576.63 = 14,576.63/x
  3. Step 3: Cross multiply
    9,893.81x = 14,576.63 × 14,576.63
  4. Step 4: Simplify right side
    9,893.81x = 212,477,996.39
  5. Step 5: Solve for x
    x = 212,477,996.39/9,893.81
  6. Step 6: Final answer
    x = 21,475.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.