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Finding the Third Proportional to 5,798 and 13,646

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Solution

The third proportional to 5,798 and 13,646 is: 32,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 13,646 = 13,646 : x
  2. Step 2: Convert to fraction form
    5,798/13,646 = 13,646/x
  3. Step 3: Cross multiply
    5,798x = 13,646 × 13,646
  4. Step 4: Simplify right side
    5,798x = 186,213,316
  5. Step 5: Solve for x
    x = 186,213,316/5,798
  6. Step 6: Final answer
    x = 32,116.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.