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Finding the Third Proportional to 38,056.75 and 86,075.56

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Solution

The third proportional to 38,056.75 and 86,075.56 is: 194,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056.75 : 86,075.56 = 86,075.56 : x
  2. Step 2: Convert to fraction form
    38,056.75/86,075.56 = 86,075.56/x
  3. Step 3: Cross multiply
    38,056.75x = 86,075.56 × 86,075.56
  4. Step 4: Simplify right side
    38,056.75x = 7,409,002,459.69
  5. Step 5: Solve for x
    x = 7,409,002,459.69/38,056.75
  6. Step 6: Final answer
    x = 194,683.01

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.