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Finding the Third Proportional to 9,749.63 and 14,258.81

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Solution

The third proportional to 9,749.63 and 14,258.81 is: 20,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.63 : 14,258.81 = 14,258.81 : x
  2. Step 2: Convert to fraction form
    9,749.63/14,258.81 = 14,258.81/x
  3. Step 3: Cross multiply
    9,749.63x = 14,258.81 × 14,258.81
  4. Step 4: Simplify right side
    9,749.63x = 203,313,733.91
  5. Step 5: Solve for x
    x = 203,313,733.91/9,749.63
  6. Step 6: Final answer
    x = 20,853.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.