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Finding the Third Proportional to 3,486.16 and 4,969.48

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Solution

The third proportional to 3,486.16 and 4,969.48 is: 7,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.16 : 4,969.48 = 4,969.48 : x
  2. Step 2: Convert to fraction form
    3,486.16/4,969.48 = 4,969.48/x
  3. Step 3: Cross multiply
    3,486.16x = 4,969.48 × 4,969.48
  4. Step 4: Simplify right side
    3,486.16x = 24,695,697.31
  5. Step 5: Solve for x
    x = 24,695,697.31/3,486.16
  6. Step 6: Final answer
    x = 7,083.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.