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Finding the Third Proportional to 30,953.81 and 67,820.63

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Solution

The third proportional to 30,953.81 and 67,820.63 is: 148,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.81 : 67,820.63 = 67,820.63 : x
  2. Step 2: Convert to fraction form
    30,953.81/67,820.63 = 67,820.63/x
  3. Step 3: Cross multiply
    30,953.81x = 67,820.63 × 67,820.63
  4. Step 4: Simplify right side
    30,953.81x = 4,599,637,175.39
  5. Step 5: Solve for x
    x = 4,599,637,175.39/30,953.81
  6. Step 6: Final answer
    x = 148,596.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.