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Finding the Third Proportional to 14,977 and 35,614

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Solution

The third proportional to 14,977 and 35,614 is: 84,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977 : 35,614 = 35,614 : x
  2. Step 2: Convert to fraction form
    14,977/35,614 = 35,614/x
  3. Step 3: Cross multiply
    14,977x = 35,614 × 35,614
  4. Step 4: Simplify right side
    14,977x = 1,268,356,996
  5. Step 5: Solve for x
    x = 1,268,356,996/14,977
  6. Step 6: Final answer
    x = 84,686.99

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.