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Finding the Third Proportional to 14,595 and 32,106

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Solution

The third proportional to 14,595 and 32,106 is: 70,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595 : 32,106 = 32,106 : x
  2. Step 2: Convert to fraction form
    14,595/32,106 = 32,106/x
  3. Step 3: Cross multiply
    14,595x = 32,106 × 32,106
  4. Step 4: Simplify right side
    14,595x = 1,030,795,236
  5. Step 5: Solve for x
    x = 1,030,795,236/14,595
  6. Step 6: Final answer
    x = 70,626.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.