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Finding the Third Proportional to 42,363 and 65,554.31

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Solution

The third proportional to 42,363 and 65,554.31 is: 101,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363 : 65,554.31 = 65,554.31 : x
  2. Step 2: Convert to fraction form
    42,363/65,554.31 = 65,554.31/x
  3. Step 3: Cross multiply
    42,363x = 65,554.31 × 65,554.31
  4. Step 4: Simplify right side
    42,363x = 4,297,367,887.35
  5. Step 5: Solve for x
    x = 4,297,367,887.35/42,363
  6. Step 6: Final answer
    x = 101,441.54

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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.