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Finding the Third Proportional to 35,047 and 52,559

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Solution

The third proportional to 35,047 and 52,559 is: 78,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,047 : 52,559 = 52,559 : x
  2. Step 2: Convert to fraction form
    35,047/52,559 = 52,559/x
  3. Step 3: Cross multiply
    35,047x = 52,559 × 52,559
  4. Step 4: Simplify right side
    35,047x = 2,762,448,481
  5. Step 5: Solve for x
    x = 2,762,448,481/35,047
  6. Step 6: Final answer
    x = 78,821.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.