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Finding the Third Proportional to 40,275 and 87,030

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Solution

The third proportional to 40,275 and 87,030 is: 188,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,275 : 87,030 = 87,030 : x
  2. Step 2: Convert to fraction form
    40,275/87,030 = 87,030/x
  3. Step 3: Cross multiply
    40,275x = 87,030 × 87,030
  4. Step 4: Simplify right side
    40,275x = 7,574,220,900
  5. Step 5: Solve for x
    x = 7,574,220,900/40,275
  6. Step 6: Final answer
    x = 188,062.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.