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Finding the Third Proportional to 30,348.84 and 66,233.53

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Solution

The third proportional to 30,348.84 and 66,233.53 is: 144,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,348.84 : 66,233.53 = 66,233.53 : x
  2. Step 2: Convert to fraction form
    30,348.84/66,233.53 = 66,233.53/x
  3. Step 3: Cross multiply
    30,348.84x = 66,233.53 × 66,233.53
  4. Step 4: Simplify right side
    30,348.84x = 4,386,880,661.84
  5. Step 5: Solve for x
    x = 4,386,880,661.84/30,348.84
  6. Step 6: Final answer
    x = 144,548.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.