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Finding the Third Proportional to 51,683.06 and 77,825.81

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Solution

The third proportional to 51,683.06 and 77,825.81 is: 117,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,683.06 : 77,825.81 = 77,825.81 : x
  2. Step 2: Convert to fraction form
    51,683.06/77,825.81 = 77,825.81/x
  3. Step 3: Cross multiply
    51,683.06x = 77,825.81 × 77,825.81
  4. Step 4: Simplify right side
    51,683.06x = 6,056,857,091.29
  5. Step 5: Solve for x
    x = 6,056,857,091.29/51,683.06
  6. Step 6: Final answer
    x = 117,192.30

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Why These Related Problems?

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