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Finding the Third Proportional to 7,597.13 and 9,762.19

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Solution

The third proportional to 7,597.13 and 9,762.19 is: 12,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.13 : 9,762.19 = 9,762.19 : x
  2. Step 2: Convert to fraction form
    7,597.13/9,762.19 = 9,762.19/x
  3. Step 3: Cross multiply
    7,597.13x = 9,762.19 × 9,762.19
  4. Step 4: Simplify right side
    7,597.13x = 95,300,304.79
  5. Step 5: Solve for x
    x = 95,300,304.79/7,597.13
  6. Step 6: Final answer
    x = 12,544.26

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.