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Finding the Third Proportional to 25,386.75 and 32,700.38

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Solution

The third proportional to 25,386.75 and 32,700.38 is: 42,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,386.75 : 32,700.38 = 32,700.38 : x
  2. Step 2: Convert to fraction form
    25,386.75/32,700.38 = 32,700.38/x
  3. Step 3: Cross multiply
    25,386.75x = 32,700.38 × 32,700.38
  4. Step 4: Simplify right side
    25,386.75x = 1,069,314,525.14
  5. Step 5: Solve for x
    x = 1,069,314,525.14/25,386.75
  6. Step 6: Final answer
    x = 42,120.97

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.