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Finding the Third Proportional to 24,294 and 53,130

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Solution

The third proportional to 24,294 and 53,130 is: 116,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294 : 53,130 = 53,130 : x
  2. Step 2: Convert to fraction form
    24,294/53,130 = 53,130/x
  3. Step 3: Cross multiply
    24,294x = 53,130 × 53,130
  4. Step 4: Simplify right side
    24,294x = 2,822,796,900
  5. Step 5: Solve for x
    x = 2,822,796,900/24,294
  6. Step 6: Final answer
    x = 116,193.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.