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Finding the Third Proportional to 60,833.81 and 81,374.63

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Solution

The third proportional to 60,833.81 and 81,374.63 is: 108,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,833.81 : 81,374.63 = 81,374.63 : x
  2. Step 2: Convert to fraction form
    60,833.81/81,374.63 = 81,374.63/x
  3. Step 3: Cross multiply
    60,833.81x = 81,374.63 × 81,374.63
  4. Step 4: Simplify right side
    60,833.81x = 6,621,829,593.89
  5. Step 5: Solve for x
    x = 6,621,829,593.89/60,833.81
  6. Step 6: Final answer
    x = 108,851.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.