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Finding the Third Proportional to 9,873.56 and 15,693.75

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Solution

The third proportional to 9,873.56 and 15,693.75 is: 24,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.56 : 15,693.75 = 15,693.75 : x
  2. Step 2: Convert to fraction form
    9,873.56/15,693.75 = 15,693.75/x
  3. Step 3: Cross multiply
    9,873.56x = 15,693.75 × 15,693.75
  4. Step 4: Simplify right side
    9,873.56x = 246,293,789.06
  5. Step 5: Solve for x
    x = 246,293,789.06/9,873.56
  6. Step 6: Final answer
    x = 24,944.77

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1.5x scale

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.