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Finding the Third Proportional to 35,559 and 54,877.50

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Solution

The third proportional to 35,559 and 54,877.50 is: 84,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,559 : 54,877.50 = 54,877.50 : x
  2. Step 2: Convert to fraction form
    35,559/54,877.50 = 54,877.50/x
  3. Step 3: Cross multiply
    35,559x = 54,877.50 × 54,877.50
  4. Step 4: Simplify right side
    35,559x = 3,011,540,006.25
  5. Step 5: Solve for x
    x = 3,011,540,006.25/35,559
  6. Step 6: Final answer
    x = 84,691.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.