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Finding the Third Proportional to 35,437 and 54,830.50

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Solution

The third proportional to 35,437 and 54,830.50 is: 84,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,437 : 54,830.50 = 54,830.50 : x
  2. Step 2: Convert to fraction form
    35,437/54,830.50 = 54,830.50/x
  3. Step 3: Cross multiply
    35,437x = 54,830.50 × 54,830.50
  4. Step 4: Simplify right side
    35,437x = 3,006,383,730.25
  5. Step 5: Solve for x
    x = 3,006,383,730.25/35,437
  6. Step 6: Final answer
    x = 84,837.42

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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.