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Finding the Third Proportional to 24,970 and 53,495

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Solution

The third proportional to 24,970 and 53,495 is: 114,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,970 : 53,495 = 53,495 : x
  2. Step 2: Convert to fraction form
    24,970/53,495 = 53,495/x
  3. Step 3: Cross multiply
    24,970x = 53,495 × 53,495
  4. Step 4: Simplify right side
    24,970x = 2,861,715,025
  5. Step 5: Solve for x
    x = 2,861,715,025/24,970
  6. Step 6: Final answer
    x = 114,606.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.