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Finding the Third Proportional to 12,537 and 29,157

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Solution

The third proportional to 12,537 and 29,157 is: 67,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537 : 29,157 = 29,157 : x
  2. Step 2: Convert to fraction form
    12,537/29,157 = 29,157/x
  3. Step 3: Cross multiply
    12,537x = 29,157 × 29,157
  4. Step 4: Simplify right side
    12,537x = 850,130,649
  5. Step 5: Solve for x
    x = 850,130,649/12,537
  6. Step 6: Final answer
    x = 67,809.74

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.