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Finding the Third Proportional to 4,214.81 and 6,071.63

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Solution

The third proportional to 4,214.81 and 6,071.63 is: 8,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.81 : 6,071.63 = 6,071.63 : x
  2. Step 2: Convert to fraction form
    4,214.81/6,071.63 = 6,071.63/x
  3. Step 3: Cross multiply
    4,214.81x = 6,071.63 × 6,071.63
  4. Step 4: Simplify right side
    4,214.81x = 36,864,630.14
  5. Step 5: Solve for x
    x = 36,864,630.14/4,214.81
  6. Step 6: Final answer
    x = 8,746.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.