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Finding the Third Proportional to 14,824 and 32,106

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Solution

The third proportional to 14,824 and 32,106 is: 69,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824 : 32,106 = 32,106 : x
  2. Step 2: Convert to fraction form
    14,824/32,106 = 32,106/x
  3. Step 3: Cross multiply
    14,824x = 32,106 × 32,106
  4. Step 4: Simplify right side
    14,824x = 1,030,795,236
  5. Step 5: Solve for x
    x = 1,030,795,236/14,824
  6. Step 6: Final answer
    x = 69,535.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.