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Finding the Third Proportional to 34,549.50 and 74,013

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Solution

The third proportional to 34,549.50 and 74,013 is: 158,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,549.50 : 74,013 = 74,013 : x
  2. Step 2: Convert to fraction form
    34,549.50/74,013 = 74,013/x
  3. Step 3: Cross multiply
    34,549.50x = 74,013 × 74,013
  4. Step 4: Simplify right side
    34,549.50x = 5,477,924,169
  5. Step 5: Solve for x
    x = 5,477,924,169/34,549.50
  6. Step 6: Final answer
    x = 158,552.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.