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Finding the Third Proportional to 14,971 and 21,798

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Solution

The third proportional to 14,971 and 21,798 is: 31,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971 : 21,798 = 21,798 : x
  2. Step 2: Convert to fraction form
    14,971/21,798 = 21,798/x
  3. Step 3: Cross multiply
    14,971x = 21,798 × 21,798
  4. Step 4: Simplify right side
    14,971x = 475,152,804
  5. Step 5: Solve for x
    x = 475,152,804/14,971
  6. Step 6: Final answer
    x = 31,738.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.