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Finding the Third Proportional to 19,314.70 and 27,567.84

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Solution

The third proportional to 19,314.70 and 27,567.84 is: 39,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314.70 : 27,567.84 = 27,567.84 : x
  2. Step 2: Convert to fraction form
    19,314.70/27,567.84 = 27,567.84/x
  3. Step 3: Cross multiply
    19,314.70x = 27,567.84 × 27,567.84
  4. Step 4: Simplify right side
    19,314.70x = 759,986,009.02
  5. Step 5: Solve for x
    x = 759,986,009.02/19,314.70
  6. Step 6: Final answer
    x = 39,347.54

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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.