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Finding the Third Proportional to 27,428 and 37,840

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Solution

The third proportional to 27,428 and 37,840 is: 52,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428 : 37,840 = 37,840 : x
  2. Step 2: Convert to fraction form
    27,428/37,840 = 37,840/x
  3. Step 3: Cross multiply
    27,428x = 37,840 × 37,840
  4. Step 4: Simplify right side
    27,428x = 1,431,865,600
  5. Step 5: Solve for x
    x = 1,431,865,600/27,428
  6. Step 6: Final answer
    x = 52,204.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.