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Finding the Third Proportional to 15,664.22 and 24,281.44

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Solution

The third proportional to 15,664.22 and 24,281.44 is: 37,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.22 : 24,281.44 = 24,281.44 : x
  2. Step 2: Convert to fraction form
    15,664.22/24,281.44 = 24,281.44/x
  3. Step 3: Cross multiply
    15,664.22x = 24,281.44 × 24,281.44
  4. Step 4: Simplify right side
    15,664.22x = 589,588,207.07
  5. Step 5: Solve for x
    x = 589,588,207.07/15,664.22
  6. Step 6: Final answer
    x = 37,639.17

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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.