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Finding the Third Proportional to 8,457 and 12,409.50

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Solution

The third proportional to 8,457 and 12,409.50 is: 18,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457 : 12,409.50 = 12,409.50 : x
  2. Step 2: Convert to fraction form
    8,457/12,409.50 = 12,409.50/x
  3. Step 3: Cross multiply
    8,457x = 12,409.50 × 12,409.50
  4. Step 4: Simplify right side
    8,457x = 153,995,690.25
  5. Step 5: Solve for x
    x = 153,995,690.25/8,457
  6. Step 6: Final answer
    x = 18,209.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.