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Finding the Third Proportional to 15,706 and 24,287.75

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Solution

The third proportional to 15,706 and 24,287.75 is: 37,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706 : 24,287.75 = 24,287.75 : x
  2. Step 2: Convert to fraction form
    15,706/24,287.75 = 24,287.75/x
  3. Step 3: Cross multiply
    15,706x = 24,287.75 × 24,287.75
  4. Step 4: Simplify right side
    15,706x = 589,894,800.06
  5. Step 5: Solve for x
    x = 589,894,800.06/15,706
  6. Step 6: Final answer
    x = 37,558.56

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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.