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Finding the Third Proportional to 25,248.38 and 53,230.50

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Solution

The third proportional to 25,248.38 and 53,230.50 is: 112,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,248.38 : 53,230.50 = 53,230.50 : x
  2. Step 2: Convert to fraction form
    25,248.38/53,230.50 = 53,230.50/x
  3. Step 3: Cross multiply
    25,248.38x = 53,230.50 × 53,230.50
  4. Step 4: Simplify right side
    25,248.38x = 2,833,486,130.25
  5. Step 5: Solve for x
    x = 2,833,486,130.25/25,248.38
  6. Step 6: Final answer
    x = 112,224.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.