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Finding the Third Proportional to 9,725.06 and 16,048.13

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Solution

The third proportional to 9,725.06 and 16,048.13 is: 26,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.06 : 16,048.13 = 16,048.13 : x
  2. Step 2: Convert to fraction form
    9,725.06/16,048.13 = 16,048.13/x
  3. Step 3: Cross multiply
    9,725.06x = 16,048.13 × 16,048.13
  4. Step 4: Simplify right side
    9,725.06x = 257,542,316.02
  5. Step 5: Solve for x
    x = 257,542,316.02/9,725.06
  6. Step 6: Final answer
    x = 26,482.33

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.