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Finding the Third Proportional to 21,456.25 and 31,416.38

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Solution

The third proportional to 21,456.25 and 31,416.38 is: 46,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.25 : 31,416.38 = 31,416.38 : x
  2. Step 2: Convert to fraction form
    21,456.25/31,416.38 = 31,416.38/x
  3. Step 3: Cross multiply
    21,456.25x = 31,416.38 × 31,416.38
  4. Step 4: Simplify right side
    21,456.25x = 986,988,618.14
  5. Step 5: Solve for x
    x = 986,988,618.14/21,456.25
  6. Step 6: Final answer
    x = 46,000.05

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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.