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Finding the Third Proportional to 25,823.13 and 39,902.40

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Solution

The third proportional to 25,823.13 and 39,902.40 is: 61,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.13 : 39,902.40 = 39,902.40 : x
  2. Step 2: Convert to fraction form
    25,823.13/39,902.40 = 39,902.40/x
  3. Step 3: Cross multiply
    25,823.13x = 39,902.40 × 39,902.40
  4. Step 4: Simplify right side
    25,823.13x = 1,592,201,924.69
  5. Step 5: Solve for x
    x = 1,592,201,924.69/25,823.13
  6. Step 6: Final answer
    x = 61,657.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.