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Finding the Third Proportional to 30,207.94 and 45,106.88

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Solution

The third proportional to 30,207.94 and 45,106.88 is: 67,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.94 : 45,106.88 = 45,106.88 : x
  2. Step 2: Convert to fraction form
    30,207.94/45,106.88 = 45,106.88/x
  3. Step 3: Cross multiply
    30,207.94x = 45,106.88 × 45,106.88
  4. Step 4: Simplify right side
    30,207.94x = 2,034,630,172.27
  5. Step 5: Solve for x
    x = 2,034,630,172.27/30,207.94
  6. Step 6: Final answer
    x = 67,354.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.