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Finding the Third Proportional to 24,370 and 35,688

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Solution

The third proportional to 24,370 and 35,688 is: 52,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370 : 35,688 = 35,688 : x
  2. Step 2: Convert to fraction form
    24,370/35,688 = 35,688/x
  3. Step 3: Cross multiply
    24,370x = 35,688 × 35,688
  4. Step 4: Simplify right side
    24,370x = 1,273,633,344
  5. Step 5: Solve for x
    x = 1,273,633,344/24,370
  6. Step 6: Final answer
    x = 52,262.34

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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.