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Finding the Third Proportional to 53,283.50 and 79,559

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Solution

The third proportional to 53,283.50 and 79,559 is: 118,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283.50 : 79,559 = 79,559 : x
  2. Step 2: Convert to fraction form
    53,283.50/79,559 = 79,559/x
  3. Step 3: Cross multiply
    53,283.50x = 79,559 × 79,559
  4. Step 4: Simplify right side
    53,283.50x = 6,329,634,481
  5. Step 5: Solve for x
    x = 6,329,634,481/53,283.50
  6. Step 6: Final answer
    x = 118,791.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.