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Finding the Third Proportional to 30,240 and 65,657

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Solution

The third proportional to 30,240 and 65,657 is: 142,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240 : 65,657 = 65,657 : x
  2. Step 2: Convert to fraction form
    30,240/65,657 = 65,657/x
  3. Step 3: Cross multiply
    30,240x = 65,657 × 65,657
  4. Step 4: Simplify right side
    30,240x = 4,310,841,649
  5. Step 5: Solve for x
    x = 4,310,841,649/30,240
  6. Step 6: Final answer
    x = 142,554.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.