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Finding the Third Proportional to 13,352.34 and 19,822.64

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Solution

The third proportional to 13,352.34 and 19,822.64 is: 29,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,352.34 : 19,822.64 = 19,822.64 : x
  2. Step 2: Convert to fraction form
    13,352.34/19,822.64 = 19,822.64/x
  3. Step 3: Cross multiply
    13,352.34x = 19,822.64 × 19,822.64
  4. Step 4: Simplify right side
    13,352.34x = 392,937,081.35
  5. Step 5: Solve for x
    x = 392,937,081.35/13,352.34
  6. Step 6: Final answer
    x = 29,428.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.