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Finding the Third Proportional to 13,044 and 19,813.50

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Solution

The third proportional to 13,044 and 19,813.50 is: 30,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044 : 19,813.50 = 19,813.50 : x
  2. Step 2: Convert to fraction form
    13,044/19,813.50 = 19,813.50/x
  3. Step 3: Cross multiply
    13,044x = 19,813.50 × 19,813.50
  4. Step 4: Simplify right side
    13,044x = 392,574,782.25
  5. Step 5: Solve for x
    x = 392,574,782.25/13,044
  6. Step 6: Final answer
    x = 30,096.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.