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Finding the Third Proportional to 14,897 and 32,116

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Solution

The third proportional to 14,897 and 32,116 is: 69,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897 : 32,116 = 32,116 : x
  2. Step 2: Convert to fraction form
    14,897/32,116 = 32,116/x
  3. Step 3: Cross multiply
    14,897x = 32,116 × 32,116
  4. Step 4: Simplify right side
    14,897x = 1,031,437,456
  5. Step 5: Solve for x
    x = 1,031,437,456/14,897
  6. Step 6: Final answer
    x = 69,237.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.