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Finding the Third Proportional to 25,097.50 and 40,360

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Solution

The third proportional to 25,097.50 and 40,360 is: 64,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.50 : 40,360 = 40,360 : x
  2. Step 2: Convert to fraction form
    25,097.50/40,360 = 40,360/x
  3. Step 3: Cross multiply
    25,097.50x = 40,360 × 40,360
  4. Step 4: Simplify right side
    25,097.50x = 1,628,929,600
  5. Step 5: Solve for x
    x = 1,628,929,600/25,097.50
  6. Step 6: Final answer
    x = 64,904.06

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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.