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Finding the Third Proportional to 48,510 and 68,470

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Solution

The third proportional to 48,510 and 68,470 is: 96,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,510 : 68,470 = 68,470 : x
  2. Step 2: Convert to fraction form
    48,510/68,470 = 68,470/x
  3. Step 3: Cross multiply
    48,510x = 68,470 × 68,470
  4. Step 4: Simplify right side
    48,510x = 4,688,140,900
  5. Step 5: Solve for x
    x = 4,688,140,900/48,510
  6. Step 6: Final answer
    x = 96,642.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.