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Finding the Third Proportional to 12,076 and 29,089

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Solution

The third proportional to 12,076 and 29,089 is: 70,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076 : 29,089 = 29,089 : x
  2. Step 2: Convert to fraction form
    12,076/29,089 = 29,089/x
  3. Step 3: Cross multiply
    12,076x = 29,089 × 29,089
  4. Step 4: Simplify right side
    12,076x = 846,169,921
  5. Step 5: Solve for x
    x = 846,169,921/12,076
  6. Step 6: Final answer
    x = 70,070.38

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.