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Finding the Third Proportional to 30,402 and 65,718

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Solution

The third proportional to 30,402 and 65,718 is: 142,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402 : 65,718 = 65,718 : x
  2. Step 2: Convert to fraction form
    30,402/65,718 = 65,718/x
  3. Step 3: Cross multiply
    30,402x = 65,718 × 65,718
  4. Step 4: Simplify right side
    30,402x = 4,318,855,524
  5. Step 5: Solve for x
    x = 4,318,855,524/30,402
  6. Step 6: Final answer
    x = 142,058.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.