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Finding the Third Proportional to 30,730 and 48,236

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Solution

The third proportional to 30,730 and 48,236 is: 75,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730 : 48,236 = 48,236 : x
  2. Step 2: Convert to fraction form
    30,730/48,236 = 48,236/x
  3. Step 3: Cross multiply
    30,730x = 48,236 × 48,236
  4. Step 4: Simplify right side
    30,730x = 2,326,711,696
  5. Step 5: Solve for x
    x = 2,326,711,696/30,730
  6. Step 6: Final answer
    x = 75,714.67

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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.