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Finding the Third Proportional to 9,931.50 and 21,303

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Solution

The third proportional to 9,931.50 and 21,303 is: 45,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.50 : 21,303 = 21,303 : x
  2. Step 2: Convert to fraction form
    9,931.50/21,303 = 21,303/x
  3. Step 3: Cross multiply
    9,931.50x = 21,303 × 21,303
  4. Step 4: Simplify right side
    9,931.50x = 453,817,809
  5. Step 5: Solve for x
    x = 453,817,809/9,931.50
  6. Step 6: Final answer
    x = 45,694.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.