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Finding the Third Proportional to 13,000 and 19,617

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Solution

The third proportional to 13,000 and 19,617 is: 29,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000 : 19,617 = 19,617 : x
  2. Step 2: Convert to fraction form
    13,000/19,617 = 19,617/x
  3. Step 3: Cross multiply
    13,000x = 19,617 × 19,617
  4. Step 4: Simplify right side
    13,000x = 384,826,689
  5. Step 5: Solve for x
    x = 384,826,689/13,000
  6. Step 6: Final answer
    x = 29,602.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.