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Finding the Third Proportional to 1,407 and 3,583.50

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Solution

The third proportional to 1,407 and 3,583.50 is: 9,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407 : 3,583.50 = 3,583.50 : x
  2. Step 2: Convert to fraction form
    1,407/3,583.50 = 3,583.50/x
  3. Step 3: Cross multiply
    1,407x = 3,583.50 × 3,583.50
  4. Step 4: Simplify right side
    1,407x = 12,841,472.25
  5. Step 5: Solve for x
    x = 12,841,472.25/1,407
  6. Step 6: Final answer
    x = 9,126.85

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Why These Related Problems?

These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.