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Finding the Third Proportional to 32,243.06 and 49,802.34

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Solution

The third proportional to 32,243.06 and 49,802.34 is: 76,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,243.06 : 49,802.34 = 49,802.34 : x
  2. Step 2: Convert to fraction form
    32,243.06/49,802.34 = 49,802.34/x
  3. Step 3: Cross multiply
    32,243.06x = 49,802.34 × 49,802.34
  4. Step 4: Simplify right side
    32,243.06x = 2,480,273,442.99
  5. Step 5: Solve for x
    x = 2,480,273,442.99/32,243.06
  6. Step 6: Final answer
    x = 76,924.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.