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Finding the Third Proportional to 35,729.25 and 79,916.25

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Solution

The third proportional to 35,729.25 and 79,916.25 is: 178,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,729.25 : 79,916.25 = 79,916.25 : x
  2. Step 2: Convert to fraction form
    35,729.25/79,916.25 = 79,916.25/x
  3. Step 3: Cross multiply
    35,729.25x = 79,916.25 × 79,916.25
  4. Step 4: Simplify right side
    35,729.25x = 6,386,607,014.06
  5. Step 5: Solve for x
    x = 6,386,607,014.06/35,729.25
  6. Step 6: Final answer
    x = 178,750.10

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.