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Finding the Third Proportional to 14,897 and 23,045

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Solution

The third proportional to 14,897 and 23,045 is: 35,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897 : 23,045 = 23,045 : x
  2. Step 2: Convert to fraction form
    14,897/23,045 = 23,045/x
  3. Step 3: Cross multiply
    14,897x = 23,045 × 23,045
  4. Step 4: Simplify right side
    14,897x = 531,072,025
  5. Step 5: Solve for x
    x = 531,072,025/14,897
  6. Step 6: Final answer
    x = 35,649.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.