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Finding the Third Proportional to 13,015.69 and 19,341.28

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Solution

The third proportional to 13,015.69 and 19,341.28 is: 28,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 19,341.28 = 19,341.28 : x
  2. Step 2: Convert to fraction form
    13,015.69/19,341.28 = 19,341.28/x
  3. Step 3: Cross multiply
    13,015.69x = 19,341.28 × 19,341.28
  4. Step 4: Simplify right side
    13,015.69x = 374,085,160.39
  5. Step 5: Solve for x
    x = 374,085,160.39/13,015.69
  6. Step 6: Final answer
    x = 28,741.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.