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Finding the Third Proportional to 16,495 and 24,433

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Solution

The third proportional to 16,495 and 24,433 is: 36,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495 : 24,433 = 24,433 : x
  2. Step 2: Convert to fraction form
    16,495/24,433 = 24,433/x
  3. Step 3: Cross multiply
    16,495x = 24,433 × 24,433
  4. Step 4: Simplify right side
    16,495x = 596,971,489
  5. Step 5: Solve for x
    x = 596,971,489/16,495
  6. Step 6: Final answer
    x = 36,191.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.