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Finding the Third Proportional to 14,570 and 21,978

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Solution

The third proportional to 14,570 and 21,978 is: 33,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570 : 21,978 = 21,978 : x
  2. Step 2: Convert to fraction form
    14,570/21,978 = 21,978/x
  3. Step 3: Cross multiply
    14,570x = 21,978 × 21,978
  4. Step 4: Simplify right side
    14,570x = 483,032,484
  5. Step 5: Solve for x
    x = 483,032,484/14,570
  6. Step 6: Final answer
    x = 33,152.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.