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Finding the Third Proportional to 6,090.19 and 14,419.69

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Solution

The third proportional to 6,090.19 and 14,419.69 is: 34,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.19 : 14,419.69 = 14,419.69 : x
  2. Step 2: Convert to fraction form
    6,090.19/14,419.69 = 14,419.69/x
  3. Step 3: Cross multiply
    6,090.19x = 14,419.69 × 14,419.69
  4. Step 4: Simplify right side
    6,090.19x = 207,927,387.60
  5. Step 5: Solve for x
    x = 207,927,387.60/6,090.19
  6. Step 6: Final answer
    x = 34,141.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.