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Finding the Third Proportional to 39,583.69 and 86,432.06

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Solution

The third proportional to 39,583.69 and 86,432.06 is: 188,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,583.69 : 86,432.06 = 86,432.06 : x
  2. Step 2: Convert to fraction form
    39,583.69/86,432.06 = 86,432.06/x
  3. Step 3: Cross multiply
    39,583.69x = 86,432.06 × 86,432.06
  4. Step 4: Simplify right side
    39,583.69x = 7,470,501,428.00
  5. Step 5: Solve for x
    x = 7,470,501,428.00/39,583.69
  6. Step 6: Final answer
    x = 188,726.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.