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Finding the Third Proportional to 47,672.50 and 70,030.50

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Solution

The third proportional to 47,672.50 and 70,030.50 is: 102,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,672.50 : 70,030.50 = 70,030.50 : x
  2. Step 2: Convert to fraction form
    47,672.50/70,030.50 = 70,030.50/x
  3. Step 3: Cross multiply
    47,672.50x = 70,030.50 × 70,030.50
  4. Step 4: Simplify right side
    47,672.50x = 4,904,270,930.25
  5. Step 5: Solve for x
    x = 4,904,270,930.25/47,672.50
  6. Step 6: Final answer
    x = 102,874.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.