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Finding the Third Proportional to 7,973.44 and 16,913.81

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Solution

The third proportional to 7,973.44 and 16,913.81 is: 35,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.44 : 16,913.81 = 16,913.81 : x
  2. Step 2: Convert to fraction form
    7,973.44/16,913.81 = 16,913.81/x
  3. Step 3: Cross multiply
    7,973.44x = 16,913.81 × 16,913.81
  4. Step 4: Simplify right side
    7,973.44x = 286,077,053.29
  5. Step 5: Solve for x
    x = 286,077,053.29/7,973.44
  6. Step 6: Final answer
    x = 35,878.76

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1.5x scale

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.