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Finding the Third Proportional to 46,937 and 70,804

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Solution

The third proportional to 46,937 and 70,804 is: 106,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,937 : 70,804 = 70,804 : x
  2. Step 2: Convert to fraction form
    46,937/70,804 = 70,804/x
  3. Step 3: Cross multiply
    46,937x = 70,804 × 70,804
  4. Step 4: Simplify right side
    46,937x = 5,013,206,416
  5. Step 5: Solve for x
    x = 5,013,206,416/46,937
  6. Step 6: Final answer
    x = 106,807.13

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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.