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Finding the Third Proportional to 14,402 and 29,803

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Solution

The third proportional to 14,402 and 29,803 is: 61,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402 : 29,803 = 29,803 : x
  2. Step 2: Convert to fraction form
    14,402/29,803 = 29,803/x
  3. Step 3: Cross multiply
    14,402x = 29,803 × 29,803
  4. Step 4: Simplify right side
    14,402x = 888,218,809
  5. Step 5: Solve for x
    x = 888,218,809/14,402
  6. Step 6: Final answer
    x = 61,673.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.