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Finding the Third Proportional to 14,127.50 and 21,888.50

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Solution

The third proportional to 14,127.50 and 21,888.50 is: 33,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.50 : 21,888.50 = 21,888.50 : x
  2. Step 2: Convert to fraction form
    14,127.50/21,888.50 = 21,888.50/x
  3. Step 3: Cross multiply
    14,127.50x = 21,888.50 × 21,888.50
  4. Step 4: Simplify right side
    14,127.50x = 479,106,432.25
  5. Step 5: Solve for x
    x = 479,106,432.25/14,127.50
  6. Step 6: Final answer
    x = 33,913.04

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