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Finding the Third Proportional to 13,076 and 19,737

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Solution

The third proportional to 13,076 and 19,737 is: 29,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076 : 19,737 = 19,737 : x
  2. Step 2: Convert to fraction form
    13,076/19,737 = 19,737/x
  3. Step 3: Cross multiply
    13,076x = 19,737 × 19,737
  4. Step 4: Simplify right side
    13,076x = 389,549,169
  5. Step 5: Solve for x
    x = 389,549,169/13,076
  6. Step 6: Final answer
    x = 29,791.16

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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.