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Finding the Third Proportional to 14,261.06 and 21,168.84

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Solution

The third proportional to 14,261.06 and 21,168.84 is: 31,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.06 : 21,168.84 = 21,168.84 : x
  2. Step 2: Convert to fraction form
    14,261.06/21,168.84 = 21,168.84/x
  3. Step 3: Cross multiply
    14,261.06x = 21,168.84 × 21,168.84
  4. Step 4: Simplify right side
    14,261.06x = 448,119,945.71
  5. Step 5: Solve for x
    x = 448,119,945.71/14,261.06
  6. Step 6: Final answer
    x = 31,422.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.