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Finding the Third Proportional to 4,030.50 and 6,412.13

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Solution

The third proportional to 4,030.50 and 6,412.13 is: 10,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.50 : 6,412.13 = 6,412.13 : x
  2. Step 2: Convert to fraction form
    4,030.50/6,412.13 = 6,412.13/x
  3. Step 3: Cross multiply
    4,030.50x = 6,412.13 × 6,412.13
  4. Step 4: Simplify right side
    4,030.50x = 41,115,347.02
  5. Step 5: Solve for x
    x = 41,115,347.02/4,030.50
  6. Step 6: Final answer
    x = 10,201.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.