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Finding the Third Proportional to 14,764 and 32,114

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Solution

The third proportional to 14,764 and 32,114 is: 69,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764 : 32,114 = 32,114 : x
  2. Step 2: Convert to fraction form
    14,764/32,114 = 32,114/x
  3. Step 3: Cross multiply
    14,764x = 32,114 × 32,114
  4. Step 4: Simplify right side
    14,764x = 1,031,308,996
  5. Step 5: Solve for x
    x = 1,031,308,996/14,764
  6. Step 6: Final answer
    x = 69,852.95

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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.