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Finding the Third Proportional to 32,418 and 50,063.63

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Solution

The third proportional to 32,418 and 50,063.63 is: 77,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,418 : 50,063.63 = 50,063.63 : x
  2. Step 2: Convert to fraction form
    32,418/50,063.63 = 50,063.63/x
  3. Step 3: Cross multiply
    32,418x = 50,063.63 × 50,063.63
  4. Step 4: Simplify right side
    32,418x = 2,506,366,548.14
  5. Step 5: Solve for x
    x = 2,506,366,548.14/32,418
  6. Step 6: Final answer
    x = 77,314.04

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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.