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Finding the Third Proportional to 13,130.16 and 19,851.56

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Solution

The third proportional to 13,130.16 and 19,851.56 is: 30,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.16 : 19,851.56 = 19,851.56 : x
  2. Step 2: Convert to fraction form
    13,130.16/19,851.56 = 19,851.56/x
  3. Step 3: Cross multiply
    13,130.16x = 19,851.56 × 19,851.56
  4. Step 4: Simplify right side
    13,130.16x = 394,084,533.69
  5. Step 5: Solve for x
    x = 394,084,533.69/13,130.16
  6. Step 6: Final answer
    x = 30,013.70

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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.