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Finding the Third Proportional to 45,735.75 and 65,275.88

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Solution

The third proportional to 45,735.75 and 65,275.88 is: 93,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,735.75 : 65,275.88 = 65,275.88 : x
  2. Step 2: Convert to fraction form
    45,735.75/65,275.88 = 65,275.88/x
  3. Step 3: Cross multiply
    45,735.75x = 65,275.88 × 65,275.88
  4. Step 4: Simplify right side
    45,735.75x = 4,260,939,857.02
  5. Step 5: Solve for x
    x = 4,260,939,857.02/45,735.75
  6. Step 6: Final answer
    x = 93,164.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.