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Finding the Third Proportional to 46,746 and 62,987

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Solution

The third proportional to 46,746 and 62,987 is: 84,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746 : 62,987 = 62,987 : x
  2. Step 2: Convert to fraction form
    46,746/62,987 = 62,987/x
  3. Step 3: Cross multiply
    46,746x = 62,987 × 62,987
  4. Step 4: Simplify right side
    46,746x = 3,967,362,169
  5. Step 5: Solve for x
    x = 3,967,362,169/46,746
  6. Step 6: Final answer
    x = 84,870.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.