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Finding the Third Proportional to 57,780.84 and 91,683.14

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Solution

The third proportional to 57,780.84 and 91,683.14 is: 145,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780.84 : 91,683.14 = 91,683.14 : x
  2. Step 2: Convert to fraction form
    57,780.84/91,683.14 = 91,683.14/x
  3. Step 3: Cross multiply
    57,780.84x = 91,683.14 × 91,683.14
  4. Step 4: Simplify right side
    57,780.84x = 8,405,798,274.86
  5. Step 5: Solve for x
    x = 8,405,798,274.86/57,780.84
  6. Step 6: Final answer
    x = 145,477.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.