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Finding the Third Proportional to 41,784 and 63,030.75

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Solution

The third proportional to 41,784 and 63,030.75 is: 95,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,784 : 63,030.75 = 63,030.75 : x
  2. Step 2: Convert to fraction form
    41,784/63,030.75 = 63,030.75/x
  3. Step 3: Cross multiply
    41,784x = 63,030.75 × 63,030.75
  4. Step 4: Simplify right side
    41,784x = 3,972,875,445.56
  5. Step 5: Solve for x
    x = 3,972,875,445.56/41,784
  6. Step 6: Final answer
    x = 95,081.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.