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Finding the Third Proportional to 33,020.63 and 64,386.75

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Solution

The third proportional to 33,020.63 and 64,386.75 is: 125,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,020.63 : 64,386.75 = 64,386.75 : x
  2. Step 2: Convert to fraction form
    33,020.63/64,386.75 = 64,386.75/x
  3. Step 3: Cross multiply
    33,020.63x = 64,386.75 × 64,386.75
  4. Step 4: Simplify right side
    33,020.63x = 4,145,653,575.56
  5. Step 5: Solve for x
    x = 4,145,653,575.56/33,020.63
  6. Step 6: Final answer
    x = 125,547.40

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.