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Finding the Third Proportional to 7,461 and 16,253.25

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Solution

The third proportional to 7,461 and 16,253.25 is: 35,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 16,253.25 = 16,253.25 : x
  2. Step 2: Convert to fraction form
    7,461/16,253.25 = 16,253.25/x
  3. Step 3: Cross multiply
    7,461x = 16,253.25 × 16,253.25
  4. Step 4: Simplify right side
    7,461x = 264,168,135.56
  5. Step 5: Solve for x
    x = 264,168,135.56/7,461
  6. Step 6: Final answer
    x = 35,406.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.