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Finding the Third Proportional to 16,506 and 24,395

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Solution

The third proportional to 16,506 and 24,395 is: 36,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506 : 24,395 = 24,395 : x
  2. Step 2: Convert to fraction form
    16,506/24,395 = 24,395/x
  3. Step 3: Cross multiply
    16,506x = 24,395 × 24,395
  4. Step 4: Simplify right side
    16,506x = 595,116,025
  5. Step 5: Solve for x
    x = 595,116,025/16,506
  6. Step 6: Final answer
    x = 36,054.53

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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.