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Finding the Third Proportional to 15,194.25 and 23,594.63

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Solution

The third proportional to 15,194.25 and 23,594.63 is: 36,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.25 : 23,594.63 = 23,594.63 : x
  2. Step 2: Convert to fraction form
    15,194.25/23,594.63 = 23,594.63/x
  3. Step 3: Cross multiply
    15,194.25x = 23,594.63 × 23,594.63
  4. Step 4: Simplify right side
    15,194.25x = 556,706,328.89
  5. Step 5: Solve for x
    x = 556,706,328.89/15,194.25
  6. Step 6: Final answer
    x = 36,639.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.