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Finding the Third Proportional to 30,912 and 49,428

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Solution

The third proportional to 30,912 and 49,428 is: 79,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912 : 49,428 = 49,428 : x
  2. Step 2: Convert to fraction form
    30,912/49,428 = 49,428/x
  3. Step 3: Cross multiply
    30,912x = 49,428 × 49,428
  4. Step 4: Simplify right side
    30,912x = 2,443,127,184
  5. Step 5: Solve for x
    x = 2,443,127,184/30,912
  6. Step 6: Final answer
    x = 79,034.91

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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.