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Finding the Third Proportional to 30,000.38 and 46,002.94

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Solution

The third proportional to 30,000.38 and 46,002.94 is: 70,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.38 : 46,002.94 = 46,002.94 : x
  2. Step 2: Convert to fraction form
    30,000.38/46,002.94 = 46,002.94/x
  3. Step 3: Cross multiply
    30,000.38x = 46,002.94 × 46,002.94
  4. Step 4: Simplify right side
    30,000.38x = 2,116,270,258.63
  5. Step 5: Solve for x
    x = 2,116,270,258.63/30,000.38
  6. Step 6: Final answer
    x = 70,541.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.