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Finding the Third Proportional to 884.91 and 1,875.19

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Solution

The third proportional to 884.91 and 1,875.19 is: 3,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.91 : 1,875.19 = 1,875.19 : x
  2. Step 2: Convert to fraction form
    884.91/1,875.19 = 1,875.19/x
  3. Step 3: Cross multiply
    884.91x = 1,875.19 × 1,875.19
  4. Step 4: Simplify right side
    884.91x = 3,516,328.16
  5. Step 5: Solve for x
    x = 3,516,328.16/884.91
  6. Step 6: Final answer
    x = 3,973.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.