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Finding the Third Proportional to 13,003 and 19,619.50

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Solution

The third proportional to 13,003 and 19,619.50 is: 29,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003 : 19,619.50 = 19,619.50 : x
  2. Step 2: Convert to fraction form
    13,003/19,619.50 = 19,619.50/x
  3. Step 3: Cross multiply
    13,003x = 19,619.50 × 19,619.50
  4. Step 4: Simplify right side
    13,003x = 384,924,780.25
  5. Step 5: Solve for x
    x = 384,924,780.25/13,003
  6. Step 6: Final answer
    x = 29,602.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.