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Finding the Third Proportional to 16,547 and 36,010

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Solution

The third proportional to 16,547 and 36,010 is: 78,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547 : 36,010 = 36,010 : x
  2. Step 2: Convert to fraction form
    16,547/36,010 = 36,010/x
  3. Step 3: Cross multiply
    16,547x = 36,010 × 36,010
  4. Step 4: Simplify right side
    16,547x = 1,296,720,100
  5. Step 5: Solve for x
    x = 1,296,720,100/16,547
  6. Step 6: Final answer
    x = 78,365.87

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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.