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Finding the Third Proportional to 46,118 and 62,585

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Solution

The third proportional to 46,118 and 62,585 is: 84,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,118 : 62,585 = 62,585 : x
  2. Step 2: Convert to fraction form
    46,118/62,585 = 62,585/x
  3. Step 3: Cross multiply
    46,118x = 62,585 × 62,585
  4. Step 4: Simplify right side
    46,118x = 3,916,882,225
  5. Step 5: Solve for x
    x = 3,916,882,225/46,118
  6. Step 6: Final answer
    x = 84,931.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.