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Finding the Third Proportional to 46,376 and 70,448

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Solution

The third proportional to 46,376 and 70,448 is: 107,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,376 : 70,448 = 70,448 : x
  2. Step 2: Convert to fraction form
    46,376/70,448 = 70,448/x
  3. Step 3: Cross multiply
    46,376x = 70,448 × 70,448
  4. Step 4: Simplify right side
    46,376x = 4,962,920,704
  5. Step 5: Solve for x
    x = 4,962,920,704/46,376
  6. Step 6: Final answer
    x = 107,014.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.