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Finding the Third Proportional to 18,028 and 39,097.75

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Solution

The third proportional to 18,028 and 39,097.75 is: 84,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,028 : 39,097.75 = 39,097.75 : x
  2. Step 2: Convert to fraction form
    18,028/39,097.75 = 39,097.75/x
  3. Step 3: Cross multiply
    18,028x = 39,097.75 × 39,097.75
  4. Step 4: Simplify right side
    18,028x = 1,528,634,055.06
  5. Step 5: Solve for x
    x = 1,528,634,055.06/18,028
  6. Step 6: Final answer
    x = 84,792.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.