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Finding the Third Proportional to 13,246 and 17,985

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Solution

The third proportional to 13,246 and 17,985 is: 24,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246 : 17,985 = 17,985 : x
  2. Step 2: Convert to fraction form
    13,246/17,985 = 17,985/x
  3. Step 3: Cross multiply
    13,246x = 17,985 × 17,985
  4. Step 4: Simplify right side
    13,246x = 323,460,225
  5. Step 5: Solve for x
    x = 323,460,225/13,246
  6. Step 6: Final answer
    x = 24,419.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.