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Finding the Third Proportional to 35,051 and 54,425.50

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Solution

The third proportional to 35,051 and 54,425.50 is: 84,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,051 : 54,425.50 = 54,425.50 : x
  2. Step 2: Convert to fraction form
    35,051/54,425.50 = 54,425.50/x
  3. Step 3: Cross multiply
    35,051x = 54,425.50 × 54,425.50
  4. Step 4: Simplify right side
    35,051x = 2,962,135,050.25
  5. Step 5: Solve for x
    x = 2,962,135,050.25/35,051
  6. Step 6: Final answer
    x = 84,509.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.