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Finding the Third Proportional to 46,709 and 70,548

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Solution

The third proportional to 46,709 and 70,548 is: 106,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,709 : 70,548 = 70,548 : x
  2. Step 2: Convert to fraction form
    46,709/70,548 = 70,548/x
  3. Step 3: Cross multiply
    46,709x = 70,548 × 70,548
  4. Step 4: Simplify right side
    46,709x = 4,977,020,304
  5. Step 5: Solve for x
    x = 4,977,020,304/46,709
  6. Step 6: Final answer
    x = 106,553.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.