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Finding the Third Proportional to 15,496.95 and 35,664.05

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Solution

The third proportional to 15,496.95 and 35,664.05 is: 82,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496.95 : 35,664.05 = 35,664.05 : x
  2. Step 2: Convert to fraction form
    15,496.95/35,664.05 = 35,664.05/x
  3. Step 3: Cross multiply
    15,496.95x = 35,664.05 × 35,664.05
  4. Step 4: Simplify right side
    15,496.95x = 1,271,924,239.50
  5. Step 5: Solve for x
    x = 1,271,924,239.50/15,496.95
  6. Step 6: Final answer
    x = 82,075.80

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.