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Finding the Third Proportional to 14,901 and 35,178

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Solution

The third proportional to 14,901 and 35,178 is: 83,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901 : 35,178 = 35,178 : x
  2. Step 2: Convert to fraction form
    14,901/35,178 = 35,178/x
  3. Step 3: Cross multiply
    14,901x = 35,178 × 35,178
  4. Step 4: Simplify right side
    14,901x = 1,237,491,684
  5. Step 5: Solve for x
    x = 1,237,491,684/14,901
  6. Step 6: Final answer
    x = 83,047.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.