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Finding the Third Proportional to 53,475 and 61,251

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Solution

The third proportional to 53,475 and 61,251 is: 70,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,475 : 61,251 = 61,251 : x
  2. Step 2: Convert to fraction form
    53,475/61,251 = 61,251/x
  3. Step 3: Cross multiply
    53,475x = 61,251 × 61,251
  4. Step 4: Simplify right side
    53,475x = 3,751,685,001
  5. Step 5: Solve for x
    x = 3,751,685,001/53,475
  6. Step 6: Final answer
    x = 70,157.74

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.