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Finding the Third Proportional to 9,104.06 and 14,477.06

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Solution

The third proportional to 9,104.06 and 14,477.06 is: 23,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.06 : 14,477.06 = 14,477.06 : x
  2. Step 2: Convert to fraction form
    9,104.06/14,477.06 = 14,477.06/x
  3. Step 3: Cross multiply
    9,104.06x = 14,477.06 × 14,477.06
  4. Step 4: Simplify right side
    9,104.06x = 209,585,338.63
  5. Step 5: Solve for x
    x = 209,585,338.63/9,104.06
  6. Step 6: Final answer
    x = 23,021.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.