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Finding the Third Proportional to 15,602 and 25,133.75

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Solution

The third proportional to 15,602 and 25,133.75 is: 40,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602 : 25,133.75 = 25,133.75 : x
  2. Step 2: Convert to fraction form
    15,602/25,133.75 = 25,133.75/x
  3. Step 3: Cross multiply
    15,602x = 25,133.75 × 25,133.75
  4. Step 4: Simplify right side
    15,602x = 631,705,389.06
  5. Step 5: Solve for x
    x = 631,705,389.06/15,602
  6. Step 6: Final answer
    x = 40,488.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.