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Finding the Third Proportional to 13,106 and 28,786

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Solution

The third proportional to 13,106 and 28,786 is: 63,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106 : 28,786 = 28,786 : x
  2. Step 2: Convert to fraction form
    13,106/28,786 = 28,786/x
  3. Step 3: Cross multiply
    13,106x = 28,786 × 28,786
  4. Step 4: Simplify right side
    13,106x = 828,633,796
  5. Step 5: Solve for x
    x = 828,633,796/13,106
  6. Step 6: Final answer
    x = 63,225.53

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