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Finding the Third Proportional to 30,810 and 65,300

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Solution

The third proportional to 30,810 and 65,300 is: 138,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810 : 65,300 = 65,300 : x
  2. Step 2: Convert to fraction form
    30,810/65,300 = 65,300/x
  3. Step 3: Cross multiply
    30,810x = 65,300 × 65,300
  4. Step 4: Simplify right side
    30,810x = 4,264,090,000
  5. Step 5: Solve for x
    x = 4,264,090,000/30,810
  6. Step 6: Final answer
    x = 138,399.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.