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Finding the Third Proportional to 13,419.56 and 19,666.69

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Solution

The third proportional to 13,419.56 and 19,666.69 is: 28,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.56 : 19,666.69 = 19,666.69 : x
  2. Step 2: Convert to fraction form
    13,419.56/19,666.69 = 19,666.69/x
  3. Step 3: Cross multiply
    13,419.56x = 19,666.69 × 19,666.69
  4. Step 4: Simplify right side
    13,419.56x = 386,778,597.22
  5. Step 5: Solve for x
    x = 386,778,597.22/13,419.56
  6. Step 6: Final answer
    x = 28,822.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.