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Finding the Third Proportional to 34,938.84 and 54,484.21

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Solution

The third proportional to 34,938.84 and 54,484.21 is: 84,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938.84 : 54,484.21 = 54,484.21 : x
  2. Step 2: Convert to fraction form
    34,938.84/54,484.21 = 54,484.21/x
  3. Step 3: Cross multiply
    34,938.84x = 54,484.21 × 54,484.21
  4. Step 4: Simplify right side
    34,938.84x = 2,968,528,815.82
  5. Step 5: Solve for x
    x = 2,968,528,815.82/34,938.84
  6. Step 6: Final answer
    x = 84,963.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.