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Finding the Third Proportional to 14,814 and 35,417.25

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Solution

The third proportional to 14,814 and 35,417.25 is: 84,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814 : 35,417.25 = 35,417.25 : x
  2. Step 2: Convert to fraction form
    14,814/35,417.25 = 35,417.25/x
  3. Step 3: Cross multiply
    14,814x = 35,417.25 × 35,417.25
  4. Step 4: Simplify right side
    14,814x = 1,254,381,597.56
  5. Step 5: Solve for x
    x = 1,254,381,597.56/14,814
  6. Step 6: Final answer
    x = 84,675.41

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.