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Finding the Third Proportional to 35,287.50 and 77,487

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Solution

The third proportional to 35,287.50 and 77,487 is: 170,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,287.50 : 77,487 = 77,487 : x
  2. Step 2: Convert to fraction form
    35,287.50/77,487 = 77,487/x
  3. Step 3: Cross multiply
    35,287.50x = 77,487 × 77,487
  4. Step 4: Simplify right side
    35,287.50x = 6,004,235,169
  5. Step 5: Solve for x
    x = 6,004,235,169/35,287.50
  6. Step 6: Final answer
    x = 170,151.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.