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Finding the Third Proportional to 1,029.19 and 1,552.59

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Solution

The third proportional to 1,029.19 and 1,552.59 is: 2,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.19 : 1,552.59 = 1,552.59 : x
  2. Step 2: Convert to fraction form
    1,029.19/1,552.59 = 1,552.59/x
  3. Step 3: Cross multiply
    1,029.19x = 1,552.59 × 1,552.59
  4. Step 4: Simplify right side
    1,029.19x = 2,410,547.35
  5. Step 5: Solve for x
    x = 2,410,547.35/1,029.19
  6. Step 6: Final answer
    x = 2,342.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.