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Finding the Third Proportional to 12,141 and 15,943.50

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Solution

The third proportional to 12,141 and 15,943.50 is: 20,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141 : 15,943.50 = 15,943.50 : x
  2. Step 2: Convert to fraction form
    12,141/15,943.50 = 15,943.50/x
  3. Step 3: Cross multiply
    12,141x = 15,943.50 × 15,943.50
  4. Step 4: Simplify right side
    12,141x = 254,195,192.25
  5. Step 5: Solve for x
    x = 254,195,192.25/12,141
  6. Step 6: Final answer
    x = 20,936.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.