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Finding the Third Proportional to 16,306 and 23,996

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Solution

The third proportional to 16,306 and 23,996 is: 35,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306 : 23,996 = 23,996 : x
  2. Step 2: Convert to fraction form
    16,306/23,996 = 23,996/x
  3. Step 3: Cross multiply
    16,306x = 23,996 × 23,996
  4. Step 4: Simplify right side
    16,306x = 575,808,016
  5. Step 5: Solve for x
    x = 575,808,016/16,306
  6. Step 6: Final answer
    x = 35,312.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.