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Finding the Third Proportional to 15,530.63 and 21,954.75

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Solution

The third proportional to 15,530.63 and 21,954.75 is: 31,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.63 : 21,954.75 = 21,954.75 : x
  2. Step 2: Convert to fraction form
    15,530.63/21,954.75 = 21,954.75/x
  3. Step 3: Cross multiply
    15,530.63x = 21,954.75 × 21,954.75
  4. Step 4: Simplify right side
    15,530.63x = 482,011,047.56
  5. Step 5: Solve for x
    x = 482,011,047.56/15,530.63
  6. Step 6: Final answer
    x = 31,036.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.