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Finding the Third Proportional to 48,480 and 72,428

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Solution

The third proportional to 48,480 and 72,428 is: 108,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,480 : 72,428 = 72,428 : x
  2. Step 2: Convert to fraction form
    48,480/72,428 = 72,428/x
  3. Step 3: Cross multiply
    48,480x = 72,428 × 72,428
  4. Step 4: Simplify right side
    48,480x = 5,245,815,184
  5. Step 5: Solve for x
    x = 5,245,815,184/48,480
  6. Step 6: Final answer
    x = 108,205.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.