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Finding the Third Proportional to 14,868.56 and 21,744.66

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Solution

The third proportional to 14,868.56 and 21,744.66 is: 31,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868.56 : 21,744.66 = 21,744.66 : x
  2. Step 2: Convert to fraction form
    14,868.56/21,744.66 = 21,744.66/x
  3. Step 3: Cross multiply
    14,868.56x = 21,744.66 × 21,744.66
  4. Step 4: Simplify right side
    14,868.56x = 472,830,075.43
  5. Step 5: Solve for x
    x = 472,830,075.43/14,868.56
  6. Step 6: Final answer
    x = 31,800.66

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