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Finding the Third Proportional to 2,369.81 and 3,587.34

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Solution

The third proportional to 2,369.81 and 3,587.34 is: 5,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.81 : 3,587.34 = 3,587.34 : x
  2. Step 2: Convert to fraction form
    2,369.81/3,587.34 = 3,587.34/x
  3. Step 3: Cross multiply
    2,369.81x = 3,587.34 × 3,587.34
  4. Step 4: Simplify right side
    2,369.81x = 12,869,035.18
  5. Step 5: Solve for x
    x = 12,869,035.18/2,369.81
  6. Step 6: Final answer
    x = 5,430.40

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