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Finding the Third Proportional to 43,524 and 58,721.63

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Solution

The third proportional to 43,524 and 58,721.63 is: 79,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,524 : 58,721.63 = 58,721.63 : x
  2. Step 2: Convert to fraction form
    43,524/58,721.63 = 58,721.63/x
  3. Step 3: Cross multiply
    43,524x = 58,721.63 × 58,721.63
  4. Step 4: Simplify right side
    43,524x = 3,448,229,242.64
  5. Step 5: Solve for x
    x = 3,448,229,242.64/43,524
  6. Step 6: Final answer
    x = 79,225.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.