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Finding the Third Proportional to 58,436.44 and 83,566.69

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Solution

The third proportional to 58,436.44 and 83,566.69 is: 119,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,436.44 : 83,566.69 = 83,566.69 : x
  2. Step 2: Convert to fraction form
    58,436.44/83,566.69 = 83,566.69/x
  3. Step 3: Cross multiply
    58,436.44x = 83,566.69 × 83,566.69
  4. Step 4: Simplify right side
    58,436.44x = 6,983,391,259.72
  5. Step 5: Solve for x
    x = 6,983,391,259.72/58,436.44
  6. Step 6: Final answer
    x = 119,504.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.