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Finding the Third Proportional to 39,111 and 56,047.50

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Solution

The third proportional to 39,111 and 56,047.50 is: 80,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,111 : 56,047.50 = 56,047.50 : x
  2. Step 2: Convert to fraction form
    39,111/56,047.50 = 56,047.50/x
  3. Step 3: Cross multiply
    39,111x = 56,047.50 × 56,047.50
  4. Step 4: Simplify right side
    39,111x = 3,141,322,256.25
  5. Step 5: Solve for x
    x = 3,141,322,256.25/39,111
  6. Step 6: Final answer
    x = 80,318.13

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