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Finding the Third Proportional to 25,065.07 and 32,100.21

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Solution

The third proportional to 25,065.07 and 32,100.21 is: 41,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,065.07 : 32,100.21 = 32,100.21 : x
  2. Step 2: Convert to fraction form
    25,065.07/32,100.21 = 32,100.21/x
  3. Step 3: Cross multiply
    25,065.07x = 32,100.21 × 32,100.21
  4. Step 4: Simplify right side
    25,065.07x = 1,030,423,166.06
  5. Step 5: Solve for x
    x = 1,030,423,166.06/25,065.07
  6. Step 6: Final answer
    x = 41,109.93

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.