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Finding the Third Proportional to 35,271 and 53,271

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Solution

The third proportional to 35,271 and 53,271 is: 80,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,271 : 53,271 = 53,271 : x
  2. Step 2: Convert to fraction form
    35,271/53,271 = 53,271/x
  3. Step 3: Cross multiply
    35,271x = 53,271 × 53,271
  4. Step 4: Simplify right side
    35,271x = 2,837,799,441
  5. Step 5: Solve for x
    x = 2,837,799,441/35,271
  6. Step 6: Final answer
    x = 80,457.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.