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Finding the Third Proportional to 51,770.39 and 79,547.48

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Solution

The third proportional to 51,770.39 and 79,547.48 is: 122,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,770.39 : 79,547.48 = 79,547.48 : x
  2. Step 2: Convert to fraction form
    51,770.39/79,547.48 = 79,547.48/x
  3. Step 3: Cross multiply
    51,770.39x = 79,547.48 × 79,547.48
  4. Step 4: Simplify right side
    51,770.39x = 6,327,802,270.39
  5. Step 5: Solve for x
    x = 6,327,802,270.39/51,770.39
  6. Step 6: Final answer
    x = 122,228.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.