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Finding the Third Proportional to 15,822 and 35,025.75

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Solution

The third proportional to 15,822 and 35,025.75 is: 77,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822 : 35,025.75 = 35,025.75 : x
  2. Step 2: Convert to fraction form
    15,822/35,025.75 = 35,025.75/x
  3. Step 3: Cross multiply
    15,822x = 35,025.75 × 35,025.75
  4. Step 4: Simplify right side
    15,822x = 1,226,803,163.06
  5. Step 5: Solve for x
    x = 1,226,803,163.06/15,822
  6. Step 6: Final answer
    x = 77,537.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.