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Finding the Third Proportional to 19,356.47 and 27,259.03

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Solution

The third proportional to 19,356.47 and 27,259.03 is: 38,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,356.47 : 27,259.03 = 27,259.03 : x
  2. Step 2: Convert to fraction form
    19,356.47/27,259.03 = 27,259.03/x
  3. Step 3: Cross multiply
    19,356.47x = 27,259.03 × 27,259.03
  4. Step 4: Simplify right side
    19,356.47x = 743,054,784.69
  5. Step 5: Solve for x
    x = 743,054,784.69/19,356.47
  6. Step 6: Final answer
    x = 38,387.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.