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Finding the Third Proportional to 15,770 and 24,735

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Solution

The third proportional to 15,770 and 24,735 is: 38,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770 : 24,735 = 24,735 : x
  2. Step 2: Convert to fraction form
    15,770/24,735 = 24,735/x
  3. Step 3: Cross multiply
    15,770x = 24,735 × 24,735
  4. Step 4: Simplify right side
    15,770x = 611,820,225
  5. Step 5: Solve for x
    x = 611,820,225/15,770
  6. Step 6: Final answer
    x = 38,796.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.