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Finding the Third Proportional to 14,906 and 32,788

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Solution

The third proportional to 14,906 and 32,788 is: 72,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906 : 32,788 = 32,788 : x
  2. Step 2: Convert to fraction form
    14,906/32,788 = 32,788/x
  3. Step 3: Cross multiply
    14,906x = 32,788 × 32,788
  4. Step 4: Simplify right side
    14,906x = 1,075,052,944
  5. Step 5: Solve for x
    x = 1,075,052,944/14,906
  6. Step 6: Final answer
    x = 72,122.16

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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.