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Finding the Third Proportional to 7,742.81 and 16,988.63

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Solution

The third proportional to 7,742.81 and 16,988.63 is: 37,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.81 : 16,988.63 = 16,988.63 : x
  2. Step 2: Convert to fraction form
    7,742.81/16,988.63 = 16,988.63/x
  3. Step 3: Cross multiply
    7,742.81x = 16,988.63 × 16,988.63
  4. Step 4: Simplify right side
    7,742.81x = 288,613,379.39
  5. Step 5: Solve for x
    x = 288,613,379.39/7,742.81
  6. Step 6: Final answer
    x = 37,275.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.