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Finding the Third Proportional to 4,115.81 and 4,703.06

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Solution

The third proportional to 4,115.81 and 4,703.06 is: 5,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.81 : 4,703.06 = 4,703.06 : x
  2. Step 2: Convert to fraction form
    4,115.81/4,703.06 = 4,703.06/x
  3. Step 3: Cross multiply
    4,115.81x = 4,703.06 × 4,703.06
  4. Step 4: Simplify right side
    4,115.81x = 22,118,796.88
  5. Step 5: Solve for x
    x = 22,118,796.88/4,115.81
  6. Step 6: Final answer
    x = 5,374.10

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.