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Finding the Third Proportional to 1,285.66 and 1,946.53

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Solution

The third proportional to 1,285.66 and 1,946.53 is: 2,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.66 : 1,946.53 = 1,946.53 : x
  2. Step 2: Convert to fraction form
    1,285.66/1,946.53 = 1,946.53/x
  3. Step 3: Cross multiply
    1,285.66x = 1,946.53 × 1,946.53
  4. Step 4: Simplify right side
    1,285.66x = 3,788,983.91
  5. Step 5: Solve for x
    x = 3,788,983.91/1,285.66
  6. Step 6: Final answer
    x = 2,947.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.