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Finding the Third Proportional to 9,051 and 14,443.50

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Solution

The third proportional to 9,051 and 14,443.50 is: 23,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051 : 14,443.50 = 14,443.50 : x
  2. Step 2: Convert to fraction form
    9,051/14,443.50 = 14,443.50/x
  3. Step 3: Cross multiply
    9,051x = 14,443.50 × 14,443.50
  4. Step 4: Simplify right side
    9,051x = 208,614,692.25
  5. Step 5: Solve for x
    x = 208,614,692.25/9,051
  6. Step 6: Final answer
    x = 23,048.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.