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Finding the Third Proportional to 23,670 and 35,565

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Solution

The third proportional to 23,670 and 35,565 is: 53,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670 : 35,565 = 35,565 : x
  2. Step 2: Convert to fraction form
    23,670/35,565 = 35,565/x
  3. Step 3: Cross multiply
    23,670x = 35,565 × 35,565
  4. Step 4: Simplify right side
    23,670x = 1,264,869,225
  5. Step 5: Solve for x
    x = 1,264,869,225/23,670
  6. Step 6: Final answer
    x = 53,437.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.