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Finding the Third Proportional to 8,509 and 12,944

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Solution

The third proportional to 8,509 and 12,944 is: 19,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509 : 12,944 = 12,944 : x
  2. Step 2: Convert to fraction form
    8,509/12,944 = 12,944/x
  3. Step 3: Cross multiply
    8,509x = 12,944 × 12,944
  4. Step 4: Simplify right side
    8,509x = 167,547,136
  5. Step 5: Solve for x
    x = 167,547,136/8,509
  6. Step 6: Final answer
    x = 19,690.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.