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Finding the Third Proportional to 8,643 and 20,239.50

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Solution

The third proportional to 8,643 and 20,239.50 is: 47,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643 : 20,239.50 = 20,239.50 : x
  2. Step 2: Convert to fraction form
    8,643/20,239.50 = 20,239.50/x
  3. Step 3: Cross multiply
    8,643x = 20,239.50 × 20,239.50
  4. Step 4: Simplify right side
    8,643x = 409,637,360.25
  5. Step 5: Solve for x
    x = 409,637,360.25/8,643
  6. Step 6: Final answer
    x = 47,395.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.