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Finding the Third Proportional to 30,423 and 45,510

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Solution

The third proportional to 30,423 and 45,510 is: 68,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423 : 45,510 = 45,510 : x
  2. Step 2: Convert to fraction form
    30,423/45,510 = 45,510/x
  3. Step 3: Cross multiply
    30,423x = 45,510 × 45,510
  4. Step 4: Simplify right side
    30,423x = 2,071,160,100
  5. Step 5: Solve for x
    x = 2,071,160,100/30,423
  6. Step 6: Final answer
    x = 68,078.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.