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Finding the Third Proportional to 35,747 and 53,011

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Solution

The third proportional to 35,747 and 53,011 is: 78,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,747 : 53,011 = 53,011 : x
  2. Step 2: Convert to fraction form
    35,747/53,011 = 53,011/x
  3. Step 3: Cross multiply
    35,747x = 53,011 × 53,011
  4. Step 4: Simplify right side
    35,747x = 2,810,166,121
  5. Step 5: Solve for x
    x = 2,810,166,121/35,747
  6. Step 6: Final answer
    x = 78,612.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.