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Finding the Third Proportional to 44,827 and 97,540

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Solution

The third proportional to 44,827 and 97,540 is: 212,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,827 : 97,540 = 97,540 : x
  2. Step 2: Convert to fraction form
    44,827/97,540 = 97,540/x
  3. Step 3: Cross multiply
    44,827x = 97,540 × 97,540
  4. Step 4: Simplify right side
    44,827x = 9,514,051,600
  5. Step 5: Solve for x
    x = 9,514,051,600/44,827
  6. Step 6: Final answer
    x = 212,239.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.