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Finding the Third Proportional to 21,530.25 and 31,444.88

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Solution

The third proportional to 21,530.25 and 31,444.88 is: 45,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.25 : 31,444.88 = 31,444.88 : x
  2. Step 2: Convert to fraction form
    21,530.25/31,444.88 = 31,444.88/x
  3. Step 3: Cross multiply
    21,530.25x = 31,444.88 × 31,444.88
  4. Step 4: Simplify right side
    21,530.25x = 988,780,163.77
  5. Step 5: Solve for x
    x = 988,780,163.77/21,530.25
  6. Step 6: Final answer
    x = 45,925.16

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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.