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Finding the Third Proportional to 27,243 and 46,587

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Solution

The third proportional to 27,243 and 46,587 is: 79,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243 : 46,587 = 46,587 : x
  2. Step 2: Convert to fraction form
    27,243/46,587 = 46,587/x
  3. Step 3: Cross multiply
    27,243x = 46,587 × 46,587
  4. Step 4: Simplify right side
    27,243x = 2,170,348,569
  5. Step 5: Solve for x
    x = 2,170,348,569/27,243
  6. Step 6: Final answer
    x = 79,666.28

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.