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Finding the Third Proportional to 1,539.87 and 3,368.07

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Solution

The third proportional to 1,539.87 and 3,368.07 is: 7,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.87 : 3,368.07 = 3,368.07 : x
  2. Step 2: Convert to fraction form
    1,539.87/3,368.07 = 3,368.07/x
  3. Step 3: Cross multiply
    1,539.87x = 3,368.07 × 3,368.07
  4. Step 4: Simplify right side
    1,539.87x = 11,343,864.74
  5. Step 5: Solve for x
    x = 11,343,864.74/1,539.87
  6. Step 6: Final answer
    x = 7,366.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.