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Finding the Third Proportional to 12,457 and 18,509

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Solution

The third proportional to 12,457 and 18,509 is: 27,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457 : 18,509 = 18,509 : x
  2. Step 2: Convert to fraction form
    12,457/18,509 = 18,509/x
  3. Step 3: Cross multiply
    12,457x = 18,509 × 18,509
  4. Step 4: Simplify right side
    12,457x = 342,583,081
  5. Step 5: Solve for x
    x = 342,583,081/12,457
  6. Step 6: Final answer
    x = 27,501.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.