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Finding the Third Proportional to 11,341.69 and 24,683.06

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Solution

The third proportional to 11,341.69 and 24,683.06 is: 53,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.69 : 24,683.06 = 24,683.06 : x
  2. Step 2: Convert to fraction form
    11,341.69/24,683.06 = 24,683.06/x
  3. Step 3: Cross multiply
    11,341.69x = 24,683.06 × 24,683.06
  4. Step 4: Simplify right side
    11,341.69x = 609,253,574.38
  5. Step 5: Solve for x
    x = 609,253,574.38/11,341.69
  6. Step 6: Final answer
    x = 53,718.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.