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Finding the Third Proportional to 10,966.50 and 15,629.06

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Solution

The third proportional to 10,966.50 and 15,629.06 is: 22,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.50 : 15,629.06 = 15,629.06 : x
  2. Step 2: Convert to fraction form
    10,966.50/15,629.06 = 15,629.06/x
  3. Step 3: Cross multiply
    10,966.50x = 15,629.06 × 15,629.06
  4. Step 4: Simplify right side
    10,966.50x = 244,267,594.63
  5. Step 5: Solve for x
    x = 244,267,594.63/10,966.50
  6. Step 6: Final answer
    x = 22,273.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.