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Finding the Third Proportional to 29,798 and 63,052

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Solution

The third proportional to 29,798 and 63,052 is: 133,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,798 : 63,052 = 63,052 : x
  2. Step 2: Convert to fraction form
    29,798/63,052 = 63,052/x
  3. Step 3: Cross multiply
    29,798x = 63,052 × 63,052
  4. Step 4: Simplify right side
    29,798x = 3,975,554,704
  5. Step 5: Solve for x
    x = 3,975,554,704/29,798
  6. Step 6: Final answer
    x = 133,416.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.