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Finding the Third Proportional to 7,323 and 10,435.50

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Solution

The third proportional to 7,323 and 10,435.50 is: 14,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323 : 10,435.50 = 10,435.50 : x
  2. Step 2: Convert to fraction form
    7,323/10,435.50 = 10,435.50/x
  3. Step 3: Cross multiply
    7,323x = 10,435.50 × 10,435.50
  4. Step 4: Simplify right side
    7,323x = 108,899,660.25
  5. Step 5: Solve for x
    x = 108,899,660.25/7,323
  6. Step 6: Final answer
    x = 14,870.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.