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Finding the Third Proportional to 30,678.89 and 45,007.88

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Solution

The third proportional to 30,678.89 and 45,007.88 is: 66,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.89 : 45,007.88 = 45,007.88 : x
  2. Step 2: Convert to fraction form
    30,678.89/45,007.88 = 45,007.88/x
  3. Step 3: Cross multiply
    30,678.89x = 45,007.88 × 45,007.88
  4. Step 4: Simplify right side
    30,678.89x = 2,025,708,812.02
  5. Step 5: Solve for x
    x = 2,025,708,812.02/30,678.89
  6. Step 6: Final answer
    x = 66,029.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.