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Finding the Third Proportional to 24,837 and 53,225.25

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Solution

The third proportional to 24,837 and 53,225.25 is: 114,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837 : 53,225.25 = 53,225.25 : x
  2. Step 2: Convert to fraction form
    24,837/53,225.25 = 53,225.25/x
  3. Step 3: Cross multiply
    24,837x = 53,225.25 × 53,225.25
  4. Step 4: Simplify right side
    24,837x = 2,832,927,237.56
  5. Step 5: Solve for x
    x = 2,832,927,237.56/24,837
  6. Step 6: Final answer
    x = 114,060.77

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1.5x scale

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.