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Finding the Third Proportional to 20,547 and 22,396.50

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Solution

The third proportional to 20,547 and 22,396.50 is: 24,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547 : 22,396.50 = 22,396.50 : x
  2. Step 2: Convert to fraction form
    20,547/22,396.50 = 22,396.50/x
  3. Step 3: Cross multiply
    20,547x = 22,396.50 × 22,396.50
  4. Step 4: Simplify right side
    20,547x = 501,603,212.25
  5. Step 5: Solve for x
    x = 501,603,212.25/20,547
  6. Step 6: Final answer
    x = 24,412.48

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.