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Finding the Third Proportional to 19,009.69 and 27,788.06

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Solution

The third proportional to 19,009.69 and 27,788.06 is: 40,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,009.69 : 27,788.06 = 27,788.06 : x
  2. Step 2: Convert to fraction form
    19,009.69/27,788.06 = 27,788.06/x
  3. Step 3: Cross multiply
    19,009.69x = 27,788.06 × 27,788.06
  4. Step 4: Simplify right side
    19,009.69x = 772,176,417.50
  5. Step 5: Solve for x
    x = 772,176,417.50/19,009.69
  6. Step 6: Final answer
    x = 40,620.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.