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Finding the Third Proportional to 16,140 and 24,303

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Solution

The third proportional to 16,140 and 24,303 is: 36,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140 : 24,303 = 24,303 : x
  2. Step 2: Convert to fraction form
    16,140/24,303 = 24,303/x
  3. Step 3: Cross multiply
    16,140x = 24,303 × 24,303
  4. Step 4: Simplify right side
    16,140x = 590,635,809
  5. Step 5: Solve for x
    x = 590,635,809/16,140
  6. Step 6: Final answer
    x = 36,594.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.