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Finding the Third Proportional to 55,005.75 and 83,035.13

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Solution

The third proportional to 55,005.75 and 83,035.13 is: 125,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,005.75 : 83,035.13 = 83,035.13 : x
  2. Step 2: Convert to fraction form
    55,005.75/83,035.13 = 83,035.13/x
  3. Step 3: Cross multiply
    55,005.75x = 83,035.13 × 83,035.13
  4. Step 4: Simplify right side
    55,005.75x = 6,894,831,983.77
  5. Step 5: Solve for x
    x = 6,894,831,983.77/55,005.75
  6. Step 6: Final answer
    x = 125,347.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.