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Finding the Third Proportional to 47,938.50 and 75,205

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Solution

The third proportional to 47,938.50 and 75,205 is: 117,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,938.50 : 75,205 = 75,205 : x
  2. Step 2: Convert to fraction form
    47,938.50/75,205 = 75,205/x
  3. Step 3: Cross multiply
    47,938.50x = 75,205 × 75,205
  4. Step 4: Simplify right side
    47,938.50x = 5,655,792,025
  5. Step 5: Solve for x
    x = 5,655,792,025/47,938.50
  6. Step 6: Final answer
    x = 117,980.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.