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Finding the Third Proportional to 26,724 and 42,315

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Solution

The third proportional to 26,724 and 42,315 is: 67,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,724 : 42,315 = 42,315 : x
  2. Step 2: Convert to fraction form
    26,724/42,315 = 42,315/x
  3. Step 3: Cross multiply
    26,724x = 42,315 × 42,315
  4. Step 4: Simplify right side
    26,724x = 1,790,559,225
  5. Step 5: Solve for x
    x = 1,790,559,225/26,724
  6. Step 6: Final answer
    x = 67,001.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.