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Finding the Third Proportional to 21,253.88 and 31,232.63

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Solution

The third proportional to 21,253.88 and 31,232.63 is: 45,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.88 : 31,232.63 = 31,232.63 : x
  2. Step 2: Convert to fraction form
    21,253.88/31,232.63 = 31,232.63/x
  3. Step 3: Cross multiply
    21,253.88x = 31,232.63 × 31,232.63
  4. Step 4: Simplify right side
    21,253.88x = 975,476,864.39
  5. Step 5: Solve for x
    x = 975,476,864.39/21,253.88
  6. Step 6: Final answer
    x = 45,896.42

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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.