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Finding the Third Proportional to 870.86 and 1,895.48

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Solution

The third proportional to 870.86 and 1,895.48 is: 4,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.86 : 1,895.48 = 1,895.48 : x
  2. Step 2: Convert to fraction form
    870.86/1,895.48 = 1,895.48/x
  3. Step 3: Cross multiply
    870.86x = 1,895.48 × 1,895.48
  4. Step 4: Simplify right side
    870.86x = 3,592,861.02
  5. Step 5: Solve for x
    x = 3,592,861.02/870.86
  6. Step 6: Final answer
    x = 4,125.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.