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Finding the Third Proportional to 46,712 and 69,900

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Solution

The third proportional to 46,712 and 69,900 is: 104,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712 : 69,900 = 69,900 : x
  2. Step 2: Convert to fraction form
    46,712/69,900 = 69,900/x
  3. Step 3: Cross multiply
    46,712x = 69,900 × 69,900
  4. Step 4: Simplify right side
    46,712x = 4,886,010,000
  5. Step 5: Solve for x
    x = 4,886,010,000/46,712
  6. Step 6: Final answer
    x = 104,598.60

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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.