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Finding the Third Proportional to 35,325.50 and 53,348.25

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Solution

The third proportional to 35,325.50 and 53,348.25 is: 80,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,325.50 : 53,348.25 = 53,348.25 : x
  2. Step 2: Convert to fraction form
    35,325.50/53,348.25 = 53,348.25/x
  3. Step 3: Cross multiply
    35,325.50x = 53,348.25 × 53,348.25
  4. Step 4: Simplify right side
    35,325.50x = 2,846,035,778.06
  5. Step 5: Solve for x
    x = 2,846,035,778.06/35,325.50
  6. Step 6: Final answer
    x = 80,566.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.