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Finding the Third Proportional to 4,527.56 and 9,905.06

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Solution

The third proportional to 4,527.56 and 9,905.06 is: 21,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.56 : 9,905.06 = 9,905.06 : x
  2. Step 2: Convert to fraction form
    4,527.56/9,905.06 = 9,905.06/x
  3. Step 3: Cross multiply
    4,527.56x = 9,905.06 × 9,905.06
  4. Step 4: Simplify right side
    4,527.56x = 98,110,263.13
  5. Step 5: Solve for x
    x = 98,110,263.13/4,527.56
  6. Step 6: Final answer
    x = 21,669.55

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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.