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Finding the Third Proportional to 20,710.69 and 32,501.25

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Solution

The third proportional to 20,710.69 and 32,501.25 is: 51,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.69 : 32,501.25 = 32,501.25 : x
  2. Step 2: Convert to fraction form
    20,710.69/32,501.25 = 32,501.25/x
  3. Step 3: Cross multiply
    20,710.69x = 32,501.25 × 32,501.25
  4. Step 4: Simplify right side
    20,710.69x = 1,056,331,251.56
  5. Step 5: Solve for x
    x = 1,056,331,251.56/20,710.69
  6. Step 6: Final answer
    x = 51,004.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.