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Finding the Third Proportional to 17,614.75 and 31,045.25

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Solution

The third proportional to 17,614.75 and 31,045.25 is: 54,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.75 : 31,045.25 = 31,045.25 : x
  2. Step 2: Convert to fraction form
    17,614.75/31,045.25 = 31,045.25/x
  3. Step 3: Cross multiply
    17,614.75x = 31,045.25 × 31,045.25
  4. Step 4: Simplify right side
    17,614.75x = 963,807,547.56
  5. Step 5: Solve for x
    x = 963,807,547.56/17,614.75
  6. Step 6: Final answer
    x = 54,715.94

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.