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Finding the Third Proportional to 13,663.69 and 28,041.19

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Solution

The third proportional to 13,663.69 and 28,041.19 is: 57,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.69 : 28,041.19 = 28,041.19 : x
  2. Step 2: Convert to fraction form
    13,663.69/28,041.19 = 28,041.19/x
  3. Step 3: Cross multiply
    13,663.69x = 28,041.19 × 28,041.19
  4. Step 4: Simplify right side
    13,663.69x = 786,308,196.41
  5. Step 5: Solve for x
    x = 786,308,196.41/13,663.69
  6. Step 6: Final answer
    x = 57,547.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.