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Finding the Third Proportional to 13,788.35 and 22,032.32

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Solution

The third proportional to 13,788.35 and 22,032.32 is: 35,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.35 : 22,032.32 = 22,032.32 : x
  2. Step 2: Convert to fraction form
    13,788.35/22,032.32 = 22,032.32/x
  3. Step 3: Cross multiply
    13,788.35x = 22,032.32 × 22,032.32
  4. Step 4: Simplify right side
    13,788.35x = 485,422,966.23
  5. Step 5: Solve for x
    x = 485,422,966.23/13,788.35
  6. Step 6: Final answer
    x = 35,205.29

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.