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Finding the Third Proportional to 1,009.13 and 1,584

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Solution

The third proportional to 1,009.13 and 1,584 is: 2,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.13 : 1,584 = 1,584 : x
  2. Step 2: Convert to fraction form
    1,009.13/1,584 = 1,584/x
  3. Step 3: Cross multiply
    1,009.13x = 1,584 × 1,584
  4. Step 4: Simplify right side
    1,009.13x = 2,509,056
  5. Step 5: Solve for x
    x = 2,509,056/1,009.13
  6. Step 6: Final answer
    x = 2,486.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.