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Finding the Third Proportional to 18,117 and 42,275.25

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Solution

The third proportional to 18,117 and 42,275.25 is: 98,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117 : 42,275.25 = 42,275.25 : x
  2. Step 2: Convert to fraction form
    18,117/42,275.25 = 42,275.25/x
  3. Step 3: Cross multiply
    18,117x = 42,275.25 × 42,275.25
  4. Step 4: Simplify right side
    18,117x = 1,787,196,762.56
  5. Step 5: Solve for x
    x = 1,787,196,762.56/18,117
  6. Step 6: Final answer
    x = 98,647.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.