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Finding the Third Proportional to 6,090.19 and 6,264.84

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Solution

The third proportional to 6,090.19 and 6,264.84 is: 6,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.19 : 6,264.84 = 6,264.84 : x
  2. Step 2: Convert to fraction form
    6,090.19/6,264.84 = 6,264.84/x
  3. Step 3: Cross multiply
    6,090.19x = 6,264.84 × 6,264.84
  4. Step 4: Simplify right side
    6,090.19x = 39,248,267.21
  5. Step 5: Solve for x
    x = 39,248,267.21/6,090.19
  6. Step 6: Final answer
    x = 6,444.51

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.