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Finding the Third Proportional to 22,970 and 29,513

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Solution

The third proportional to 22,970 and 29,513 is: 37,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970 : 29,513 = 29,513 : x
  2. Step 2: Convert to fraction form
    22,970/29,513 = 29,513/x
  3. Step 3: Cross multiply
    22,970x = 29,513 × 29,513
  4. Step 4: Simplify right side
    22,970x = 871,017,169
  5. Step 5: Solve for x
    x = 871,017,169/22,970
  6. Step 6: Final answer
    x = 37,919.77

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.