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Finding the Third Proportional to 30,402 and 45,481

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Solution

The third proportional to 30,402 and 45,481 is: 68,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402 : 45,481 = 45,481 : x
  2. Step 2: Convert to fraction form
    30,402/45,481 = 45,481/x
  3. Step 3: Cross multiply
    30,402x = 45,481 × 45,481
  4. Step 4: Simplify right side
    30,402x = 2,068,521,361
  5. Step 5: Solve for x
    x = 2,068,521,361/30,402
  6. Step 6: Final answer
    x = 68,038.99

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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.