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Finding the Third Proportional to 6,570 and 7,947

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Solution

The third proportional to 6,570 and 7,947 is: 9,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570 : 7,947 = 7,947 : x
  2. Step 2: Convert to fraction form
    6,570/7,947 = 7,947/x
  3. Step 3: Cross multiply
    6,570x = 7,947 × 7,947
  4. Step 4: Simplify right side
    6,570x = 63,154,809
  5. Step 5: Solve for x
    x = 63,154,809/6,570
  6. Step 6: Final answer
    x = 9,612.60

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.