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Finding the Third Proportional to 30,132 and 64,263.38

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Solution

The third proportional to 30,132 and 64,263.38 is: 137,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,132 : 64,263.38 = 64,263.38 : x
  2. Step 2: Convert to fraction form
    30,132/64,263.38 = 64,263.38/x
  3. Step 3: Cross multiply
    30,132x = 64,263.38 × 64,263.38
  4. Step 4: Simplify right side
    30,132x = 4,129,781,366.39
  5. Step 5: Solve for x
    x = 4,129,781,366.39/30,132
  6. Step 6: Final answer
    x = 137,056.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.