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Finding the Third Proportional to 4,646.25 and 6,969.38

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Solution

The third proportional to 4,646.25 and 6,969.38 is: 10,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.25 : 6,969.38 = 6,969.38 : x
  2. Step 2: Convert to fraction form
    4,646.25/6,969.38 = 6,969.38/x
  3. Step 3: Cross multiply
    4,646.25x = 6,969.38 × 6,969.38
  4. Step 4: Simplify right side
    4,646.25x = 48,572,187.89
  5. Step 5: Solve for x
    x = 48,572,187.89/4,646.25
  6. Step 6: Final answer
    x = 10,454.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.