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Finding the Third Proportional to 14,973.75 and 24,957

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Solution

The third proportional to 14,973.75 and 24,957 is: 41,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.75 : 24,957 = 24,957 : x
  2. Step 2: Convert to fraction form
    14,973.75/24,957 = 24,957/x
  3. Step 3: Cross multiply
    14,973.75x = 24,957 × 24,957
  4. Step 4: Simplify right side
    14,973.75x = 622,851,849
  5. Step 5: Solve for x
    x = 622,851,849/14,973.75
  6. Step 6: Final answer
    x = 41,596.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.