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Finding the Third Proportional to 30,140.86 and 65,637.84

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Solution

The third proportional to 30,140.86 and 65,637.84 is: 142,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.86 : 65,637.84 = 65,637.84 : x
  2. Step 2: Convert to fraction form
    30,140.86/65,637.84 = 65,637.84/x
  3. Step 3: Cross multiply
    30,140.86x = 65,637.84 × 65,637.84
  4. Step 4: Simplify right side
    30,140.86x = 4,308,326,532.15
  5. Step 5: Solve for x
    x = 4,308,326,532.15/30,140.86
  6. Step 6: Final answer
    x = 142,939.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.