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Finding the Third Proportional to 14,262 and 21,277.50

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Solution

The third proportional to 14,262 and 21,277.50 is: 31,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262 : 21,277.50 = 21,277.50 : x
  2. Step 2: Convert to fraction form
    14,262/21,277.50 = 21,277.50/x
  3. Step 3: Cross multiply
    14,262x = 21,277.50 × 21,277.50
  4. Step 4: Simplify right side
    14,262x = 452,732,006.25
  5. Step 5: Solve for x
    x = 452,732,006.25/14,262
  6. Step 6: Final answer
    x = 31,743.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.