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Finding the Third Proportional to 1,507.83 and 3,131.00

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Solution

The third proportional to 1,507.83 and 3,131.00 is: 6,501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.83 : 3,131.00 = 3,131.00 : x
  2. Step 2: Convert to fraction form
    1,507.83/3,131.00 = 3,131.00/x
  3. Step 3: Cross multiply
    1,507.83x = 3,131.00 × 3,131.00
  4. Step 4: Simplify right side
    1,507.83x = 9,803,148.77
  5. Step 5: Solve for x
    x = 9,803,148.77/1,507.83
  6. Step 6: Final answer
    x = 6,501.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.