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Finding the Third Proportional to 30,282 and 45,969.75

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Solution

The third proportional to 30,282 and 45,969.75 is: 69,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282 : 45,969.75 = 45,969.75 : x
  2. Step 2: Convert to fraction form
    30,282/45,969.75 = 45,969.75/x
  3. Step 3: Cross multiply
    30,282x = 45,969.75 × 45,969.75
  4. Step 4: Simplify right side
    30,282x = 2,113,217,915.06
  5. Step 5: Solve for x
    x = 2,113,217,915.06/30,282
  6. Step 6: Final answer
    x = 69,784.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.