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Finding the Third Proportional to 7,707 and 13,303

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Solution

The third proportional to 7,707 and 13,303 is: 22,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707 : 13,303 = 13,303 : x
  2. Step 2: Convert to fraction form
    7,707/13,303 = 13,303/x
  3. Step 3: Cross multiply
    7,707x = 13,303 × 13,303
  4. Step 4: Simplify right side
    7,707x = 176,969,809
  5. Step 5: Solve for x
    x = 176,969,809/7,707
  6. Step 6: Final answer
    x = 22,962.22

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.