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Finding the Third Proportional to 28,540 and 45,452.25

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Solution

The third proportional to 28,540 and 45,452.25 is: 72,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,540 : 45,452.25 = 45,452.25 : x
  2. Step 2: Convert to fraction form
    28,540/45,452.25 = 45,452.25/x
  3. Step 3: Cross multiply
    28,540x = 45,452.25 × 45,452.25
  4. Step 4: Simplify right side
    28,540x = 2,065,907,030.06
  5. Step 5: Solve for x
    x = 2,065,907,030.06/28,540
  6. Step 6: Final answer
    x = 72,386.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.