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Finding the Third Proportional to 27,657 and 40,510

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Solution

The third proportional to 27,657 and 40,510 is: 59,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657 : 40,510 = 40,510 : x
  2. Step 2: Convert to fraction form
    27,657/40,510 = 40,510/x
  3. Step 3: Cross multiply
    27,657x = 40,510 × 40,510
  4. Step 4: Simplify right side
    27,657x = 1,641,060,100
  5. Step 5: Solve for x
    x = 1,641,060,100/27,657
  6. Step 6: Final answer
    x = 59,336.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.