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Finding the Third Proportional to 30,775 and 46,114.50

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Solution

The third proportional to 30,775 and 46,114.50 is: 69,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775 : 46,114.50 = 46,114.50 : x
  2. Step 2: Convert to fraction form
    30,775/46,114.50 = 46,114.50/x
  3. Step 3: Cross multiply
    30,775x = 46,114.50 × 46,114.50
  4. Step 4: Simplify right side
    30,775x = 2,126,547,110.25
  5. Step 5: Solve for x
    x = 2,126,547,110.25/30,775
  6. Step 6: Final answer
    x = 69,099.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.