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Finding the Third Proportional to 10,501 and 14,011.50

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Solution

The third proportional to 10,501 and 14,011.50 is: 18,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501 : 14,011.50 = 14,011.50 : x
  2. Step 2: Convert to fraction form
    10,501/14,011.50 = 14,011.50/x
  3. Step 3: Cross multiply
    10,501x = 14,011.50 × 14,011.50
  4. Step 4: Simplify right side
    10,501x = 196,322,132.25
  5. Step 5: Solve for x
    x = 196,322,132.25/10,501
  6. Step 6: Final answer
    x = 18,695.57

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.