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Finding the Third Proportional to 17,712 and 28,440

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Solution

The third proportional to 17,712 and 28,440 is: 45,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 28,440 = 28,440 : x
  2. Step 2: Convert to fraction form
    17,712/28,440 = 28,440/x
  3. Step 3: Cross multiply
    17,712x = 28,440 × 28,440
  4. Step 4: Simplify right side
    17,712x = 808,833,600
  5. Step 5: Solve for x
    x = 808,833,600/17,712
  6. Step 6: Final answer
    x = 45,665.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.