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Finding the Third Proportional to 46,931 and 70,458

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Solution

The third proportional to 46,931 and 70,458 is: 105,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,931 : 70,458 = 70,458 : x
  2. Step 2: Convert to fraction form
    46,931/70,458 = 70,458/x
  3. Step 3: Cross multiply
    46,931x = 70,458 × 70,458
  4. Step 4: Simplify right side
    46,931x = 4,964,329,764
  5. Step 5: Solve for x
    x = 4,964,329,764/46,931
  6. Step 6: Final answer
    x = 105,779.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.