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Finding the Third Proportional to 24,700 and 53,780

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Solution

The third proportional to 24,700 and 53,780 is: 117,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700 : 53,780 = 53,780 : x
  2. Step 2: Convert to fraction form
    24,700/53,780 = 53,780/x
  3. Step 3: Cross multiply
    24,700x = 53,780 × 53,780
  4. Step 4: Simplify right side
    24,700x = 2,892,288,400
  5. Step 5: Solve for x
    x = 2,892,288,400/24,700
  6. Step 6: Final answer
    x = 117,096.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.