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Finding the Third Proportional to 9,637.31 and 14,045.81

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Solution

The third proportional to 9,637.31 and 14,045.81 is: 20,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.31 : 14,045.81 = 14,045.81 : x
  2. Step 2: Convert to fraction form
    9,637.31/14,045.81 = 14,045.81/x
  3. Step 3: Cross multiply
    9,637.31x = 14,045.81 × 14,045.81
  4. Step 4: Simplify right side
    9,637.31x = 197,284,848.79
  5. Step 5: Solve for x
    x = 197,284,848.79/9,637.31
  6. Step 6: Final answer
    x = 20,470.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.