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Finding the Third Proportional to 7,986 and 12,537

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Solution

The third proportional to 7,986 and 12,537 is: 19,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986 : 12,537 = 12,537 : x
  2. Step 2: Convert to fraction form
    7,986/12,537 = 12,537/x
  3. Step 3: Cross multiply
    7,986x = 12,537 × 12,537
  4. Step 4: Simplify right side
    7,986x = 157,176,369
  5. Step 5: Solve for x
    x = 157,176,369/7,986
  6. Step 6: Final answer
    x = 19,681.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.