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Finding the Third Proportional to 8,220 and 19,566

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Solution

The third proportional to 8,220 and 19,566 is: 46,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220 : 19,566 = 19,566 : x
  2. Step 2: Convert to fraction form
    8,220/19,566 = 19,566/x
  3. Step 3: Cross multiply
    8,220x = 19,566 × 19,566
  4. Step 4: Simplify right side
    8,220x = 382,828,356
  5. Step 5: Solve for x
    x = 382,828,356/8,220
  6. Step 6: Final answer
    x = 46,572.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.