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Finding the Third Proportional to 14,046 and 32,435

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Solution

The third proportional to 14,046 and 32,435 is: 74,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046 : 32,435 = 32,435 : x
  2. Step 2: Convert to fraction form
    14,046/32,435 = 32,435/x
  3. Step 3: Cross multiply
    14,046x = 32,435 × 32,435
  4. Step 4: Simplify right side
    14,046x = 1,052,029,225
  5. Step 5: Solve for x
    x = 1,052,029,225/14,046
  6. Step 6: Final answer
    x = 74,898.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.