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Finding the Third Proportional to 21,409.88 and 30,430.13

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Solution

The third proportional to 21,409.88 and 30,430.13 is: 43,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.88 : 30,430.13 = 30,430.13 : x
  2. Step 2: Convert to fraction form
    21,409.88/30,430.13 = 30,430.13/x
  3. Step 3: Cross multiply
    21,409.88x = 30,430.13 × 30,430.13
  4. Step 4: Simplify right side
    21,409.88x = 925,992,507.52
  5. Step 5: Solve for x
    x = 925,992,507.52/21,409.88
  6. Step 6: Final answer
    x = 43,250.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.