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Finding the Third Proportional to 15,864.75 and 24,525.56

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Solution

The third proportional to 15,864.75 and 24,525.56 is: 37,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.75 : 24,525.56 = 24,525.56 : x
  2. Step 2: Convert to fraction form
    15,864.75/24,525.56 = 24,525.56/x
  3. Step 3: Cross multiply
    15,864.75x = 24,525.56 × 24,525.56
  4. Step 4: Simplify right side
    15,864.75x = 601,503,215.94
  5. Step 5: Solve for x
    x = 601,503,215.94/15,864.75
  6. Step 6: Final answer
    x = 37,914.45

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1.5x scale

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.