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Finding the Third Proportional to 29,555 and 65,670

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Solution

The third proportional to 29,555 and 65,670 is: 145,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,555 : 65,670 = 65,670 : x
  2. Step 2: Convert to fraction form
    29,555/65,670 = 65,670/x
  3. Step 3: Cross multiply
    29,555x = 65,670 × 65,670
  4. Step 4: Simplify right side
    29,555x = 4,312,548,900
  5. Step 5: Solve for x
    x = 4,312,548,900/29,555
  6. Step 6: Final answer
    x = 145,916.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.