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Finding the Third Proportional to 24,378 and 53,409

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Solution

The third proportional to 24,378 and 53,409 is: 117,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378 : 53,409 = 53,409 : x
  2. Step 2: Convert to fraction form
    24,378/53,409 = 53,409/x
  3. Step 3: Cross multiply
    24,378x = 53,409 × 53,409
  4. Step 4: Simplify right side
    24,378x = 2,852,521,281
  5. Step 5: Solve for x
    x = 2,852,521,281/24,378
  6. Step 6: Final answer
    x = 117,012.11

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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.