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Finding the Third Proportional to 1,056.66 and 2,483.44

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Solution

The third proportional to 1,056.66 and 2,483.44 is: 5,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.66 : 2,483.44 = 2,483.44 : x
  2. Step 2: Convert to fraction form
    1,056.66/2,483.44 = 2,483.44/x
  3. Step 3: Cross multiply
    1,056.66x = 2,483.44 × 2,483.44
  4. Step 4: Simplify right side
    1,056.66x = 6,167,461.82
  5. Step 5: Solve for x
    x = 6,167,461.82/1,056.66
  6. Step 6: Final answer
    x = 5,836.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.