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Finding the Third Proportional to 3,931.88 and 8,547.19

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Solution

The third proportional to 3,931.88 and 8,547.19 is: 18,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.88 : 8,547.19 = 8,547.19 : x
  2. Step 2: Convert to fraction form
    3,931.88/8,547.19 = 8,547.19/x
  3. Step 3: Cross multiply
    3,931.88x = 8,547.19 × 8,547.19
  4. Step 4: Simplify right side
    3,931.88x = 73,054,414.16
  5. Step 5: Solve for x
    x = 73,054,414.16/3,931.88
  6. Step 6: Final answer
    x = 18,580.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.