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Finding the Third Proportional to 39,116 and 56,053

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Solution

The third proportional to 39,116 and 56,053 is: 80,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,116 : 56,053 = 56,053 : x
  2. Step 2: Convert to fraction form
    39,116/56,053 = 56,053/x
  3. Step 3: Cross multiply
    39,116x = 56,053 × 56,053
  4. Step 4: Simplify right side
    39,116x = 3,141,938,809
  5. Step 5: Solve for x
    x = 3,141,938,809/39,116
  6. Step 6: Final answer
    x = 80,323.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.