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Finding the Third Proportional to 7,148.25 and 10,707.19

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Solution

The third proportional to 7,148.25 and 10,707.19 is: 16,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.25 : 10,707.19 = 10,707.19 : x
  2. Step 2: Convert to fraction form
    7,148.25/10,707.19 = 10,707.19/x
  3. Step 3: Cross multiply
    7,148.25x = 10,707.19 × 10,707.19
  4. Step 4: Simplify right side
    7,148.25x = 114,643,864.16
  5. Step 5: Solve for x
    x = 114,643,864.16/7,148.25
  6. Step 6: Final answer
    x = 16,038.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.