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Finding the Third Proportional to 46,610 and 65,890

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Solution

The third proportional to 46,610 and 65,890 is: 93,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,610 : 65,890 = 65,890 : x
  2. Step 2: Convert to fraction form
    46,610/65,890 = 65,890/x
  3. Step 3: Cross multiply
    46,610x = 65,890 × 65,890
  4. Step 4: Simplify right side
    46,610x = 4,341,492,100
  5. Step 5: Solve for x
    x = 4,341,492,100/46,610
  6. Step 6: Final answer
    x = 93,145.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.