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Finding the Third Proportional to 13,897 and 29,616.50

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Solution

The third proportional to 13,897 and 29,616.50 is: 63,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897 : 29,616.50 = 29,616.50 : x
  2. Step 2: Convert to fraction form
    13,897/29,616.50 = 29,616.50/x
  3. Step 3: Cross multiply
    13,897x = 29,616.50 × 29,616.50
  4. Step 4: Simplify right side
    13,897x = 877,137,072.25
  5. Step 5: Solve for x
    x = 877,137,072.25/13,897
  6. Step 6: Final answer
    x = 63,117.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.