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Finding the Third Proportional to 13,507 and 19,861

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Solution

The third proportional to 13,507 and 19,861 is: 29,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507 : 19,861 = 19,861 : x
  2. Step 2: Convert to fraction form
    13,507/19,861 = 19,861/x
  3. Step 3: Cross multiply
    13,507x = 19,861 × 19,861
  4. Step 4: Simplify right side
    13,507x = 394,459,321
  5. Step 5: Solve for x
    x = 394,459,321/13,507
  6. Step 6: Final answer
    x = 29,204.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.