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Finding the Third Proportional to 30,470 and 46,570

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Solution

The third proportional to 30,470 and 46,570 is: 71,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470 : 46,570 = 46,570 : x
  2. Step 2: Convert to fraction form
    30,470/46,570 = 46,570/x
  3. Step 3: Cross multiply
    30,470x = 46,570 × 46,570
  4. Step 4: Simplify right side
    30,470x = 2,168,764,900
  5. Step 5: Solve for x
    x = 2,168,764,900/30,470
  6. Step 6: Final answer
    x = 71,177.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.