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Finding the Third Proportional to 30,402.42 and 48,567.09

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Solution

The third proportional to 30,402.42 and 48,567.09 is: 77,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.42 : 48,567.09 = 48,567.09 : x
  2. Step 2: Convert to fraction form
    30,402.42/48,567.09 = 48,567.09/x
  3. Step 3: Cross multiply
    30,402.42x = 48,567.09 × 48,567.09
  4. Step 4: Simplify right side
    30,402.42x = 2,358,762,595.32
  5. Step 5: Solve for x
    x = 2,358,762,595.32/30,402.42
  6. Step 6: Final answer
    x = 77,584.69

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.