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Finding the Third Proportional to 1,587.23 and 3,482.16

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Solution

The third proportional to 1,587.23 and 3,482.16 is: 7,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.23 : 3,482.16 = 3,482.16 : x
  2. Step 2: Convert to fraction form
    1,587.23/3,482.16 = 3,482.16/x
  3. Step 3: Cross multiply
    1,587.23x = 3,482.16 × 3,482.16
  4. Step 4: Simplify right side
    1,587.23x = 12,125,412.15
  5. Step 5: Solve for x
    x = 12,125,412.15/1,587.23
  6. Step 6: Final answer
    x = 7,639.33

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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.