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Finding the Third Proportional to 30,402 and 66,630

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Solution

The third proportional to 30,402 and 66,630 is: 146,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402 : 66,630 = 66,630 : x
  2. Step 2: Convert to fraction form
    30,402/66,630 = 66,630/x
  3. Step 3: Cross multiply
    30,402x = 66,630 × 66,630
  4. Step 4: Simplify right side
    30,402x = 4,439,556,900
  5. Step 5: Solve for x
    x = 4,439,556,900/30,402
  6. Step 6: Final answer
    x = 146,028.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.