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Finding the Third Proportional to 1,070.72 and 2,346.47

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Solution

The third proportional to 1,070.72 and 2,346.47 is: 5,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.72 : 2,346.47 = 2,346.47 : x
  2. Step 2: Convert to fraction form
    1,070.72/2,346.47 = 2,346.47/x
  3. Step 3: Cross multiply
    1,070.72x = 2,346.47 × 2,346.47
  4. Step 4: Simplify right side
    1,070.72x = 5,505,915.59
  5. Step 5: Solve for x
    x = 5,505,915.59/1,070.72
  6. Step 6: Final answer
    x = 5,142.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.