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Finding the Third Proportional to 5,250.66 and 7,341.05

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Solution

The third proportional to 5,250.66 and 7,341.05 is: 10,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.66 : 7,341.05 = 7,341.05 : x
  2. Step 2: Convert to fraction form
    5,250.66/7,341.05 = 7,341.05/x
  3. Step 3: Cross multiply
    5,250.66x = 7,341.05 × 7,341.05
  4. Step 4: Simplify right side
    5,250.66x = 53,890,969.22
  5. Step 5: Solve for x
    x = 53,890,969.22/5,250.66
  6. Step 6: Final answer
    x = 10,263.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.