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Finding the Third Proportional to 4,925.81 and 10,670.91

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Solution

The third proportional to 4,925.81 and 10,670.91 is: 23,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.81 : 10,670.91 = 10,670.91 : x
  2. Step 2: Convert to fraction form
    4,925.81/10,670.91 = 10,670.91/x
  3. Step 3: Cross multiply
    4,925.81x = 10,670.91 × 10,670.91
  4. Step 4: Simplify right side
    4,925.81x = 113,868,240.20
  5. Step 5: Solve for x
    x = 113,868,240.20/4,925.81
  6. Step 6: Final answer
    x = 23,116.64

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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.