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Finding the Third Proportional to 6,977.39 and 16,457.55

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Solution

The third proportional to 6,977.39 and 16,457.55 is: 38,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.39 : 16,457.55 = 16,457.55 : x
  2. Step 2: Convert to fraction form
    6,977.39/16,457.55 = 16,457.55/x
  3. Step 3: Cross multiply
    6,977.39x = 16,457.55 × 16,457.55
  4. Step 4: Simplify right side
    6,977.39x = 270,851,106.29
  5. Step 5: Solve for x
    x = 270,851,106.29/6,977.39
  6. Step 6: Final answer
    x = 38,818.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.