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Finding the Third Proportional to 20,477.63 and 32,561.06

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Solution

The third proportional to 20,477.63 and 32,561.06 is: 51,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.63 : 32,561.06 = 32,561.06 : x
  2. Step 2: Convert to fraction form
    20,477.63/32,561.06 = 32,561.06/x
  3. Step 3: Cross multiply
    20,477.63x = 32,561.06 × 32,561.06
  4. Step 4: Simplify right side
    20,477.63x = 1,060,222,791.13
  5. Step 5: Solve for x
    x = 1,060,222,791.13/20,477.63
  6. Step 6: Final answer
    x = 51,774.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.