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Finding the Third Proportional to 48,324 and 70,756

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Solution

The third proportional to 48,324 and 70,756 is: 103,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,324 : 70,756 = 70,756 : x
  2. Step 2: Convert to fraction form
    48,324/70,756 = 70,756/x
  3. Step 3: Cross multiply
    48,324x = 70,756 × 70,756
  4. Step 4: Simplify right side
    48,324x = 5,006,411,536
  5. Step 5: Solve for x
    x = 5,006,411,536/48,324
  6. Step 6: Final answer
    x = 103,600.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.