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Finding the Third Proportional to 652.50 and 1,342.50

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Solution

The third proportional to 652.50 and 1,342.50 is: 2,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.50 : 1,342.50 = 1,342.50 : x
  2. Step 2: Convert to fraction form
    652.50/1,342.50 = 1,342.50/x
  3. Step 3: Cross multiply
    652.50x = 1,342.50 × 1,342.50
  4. Step 4: Simplify right side
    652.50x = 1,802,306.25
  5. Step 5: Solve for x
    x = 1,802,306.25/652.50
  6. Step 6: Final answer
    x = 2,762.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.