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Finding the Third Proportional to 12,501 and 29,565

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Solution

The third proportional to 12,501 and 29,565 is: 69,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501 : 29,565 = 29,565 : x
  2. Step 2: Convert to fraction form
    12,501/29,565 = 29,565/x
  3. Step 3: Cross multiply
    12,501x = 29,565 × 29,565
  4. Step 4: Simplify right side
    12,501x = 874,089,225
  5. Step 5: Solve for x
    x = 874,089,225/12,501
  6. Step 6: Final answer
    x = 69,921.54

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.