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Finding the Third Proportional to 25,216.31 and 35,340.05

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Solution

The third proportional to 25,216.31 and 35,340.05 is: 49,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.31 : 35,340.05 = 35,340.05 : x
  2. Step 2: Convert to fraction form
    25,216.31/35,340.05 = 35,340.05/x
  3. Step 3: Cross multiply
    25,216.31x = 35,340.05 × 35,340.05
  4. Step 4: Simplify right side
    25,216.31x = 1,248,918,913.13
  5. Step 5: Solve for x
    x = 1,248,918,913.13/25,216.31
  6. Step 6: Final answer
    x = 49,528.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.