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Finding the Third Proportional to 25,010 and 38,150.13

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Solution

The third proportional to 25,010 and 38,150.13 is: 58,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,010 : 38,150.13 = 38,150.13 : x
  2. Step 2: Convert to fraction form
    25,010/38,150.13 = 38,150.13/x
  3. Step 3: Cross multiply
    25,010x = 38,150.13 × 38,150.13
  4. Step 4: Simplify right side
    25,010x = 1,455,432,037.52
  5. Step 5: Solve for x
    x = 1,455,432,037.52/25,010
  6. Step 6: Final answer
    x = 58,194.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.