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Finding the Third Proportional to 21,798 and 46,217

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Solution

The third proportional to 21,798 and 46,217 is: 97,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,798 : 46,217 = 46,217 : x
  2. Step 2: Convert to fraction form
    21,798/46,217 = 46,217/x
  3. Step 3: Cross multiply
    21,798x = 46,217 × 46,217
  4. Step 4: Simplify right side
    21,798x = 2,136,011,089
  5. Step 5: Solve for x
    x = 2,136,011,089/21,798
  6. Step 6: Final answer
    x = 97,991.15

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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.