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Finding the Third Proportional to 1,407 and 2,134.50

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Solution

The third proportional to 1,407 and 2,134.50 is: 3,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407 : 2,134.50 = 2,134.50 : x
  2. Step 2: Convert to fraction form
    1,407/2,134.50 = 2,134.50/x
  3. Step 3: Cross multiply
    1,407x = 2,134.50 × 2,134.50
  4. Step 4: Simplify right side
    1,407x = 4,556,090.25
  5. Step 5: Solve for x
    x = 4,556,090.25/1,407
  6. Step 6: Final answer
    x = 3,238.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.