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Finding the Third Proportional to 7,570.13 and 9,828.75

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Solution

The third proportional to 7,570.13 and 9,828.75 is: 12,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.13 : 9,828.75 = 9,828.75 : x
  2. Step 2: Convert to fraction form
    7,570.13/9,828.75 = 9,828.75/x
  3. Step 3: Cross multiply
    7,570.13x = 9,828.75 × 9,828.75
  4. Step 4: Simplify right side
    7,570.13x = 96,604,326.56
  5. Step 5: Solve for x
    x = 96,604,326.56/7,570.13
  6. Step 6: Final answer
    x = 12,761.26

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.