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Finding the Third Proportional to 15,315.75 and 32,177.25

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Solution

The third proportional to 15,315.75 and 32,177.25 is: 67,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315.75 : 32,177.25 = 32,177.25 : x
  2. Step 2: Convert to fraction form
    15,315.75/32,177.25 = 32,177.25/x
  3. Step 3: Cross multiply
    15,315.75x = 32,177.25 × 32,177.25
  4. Step 4: Simplify right side
    15,315.75x = 1,035,375,417.56
  5. Step 5: Solve for x
    x = 1,035,375,417.56/15,315.75
  6. Step 6: Final answer
    x = 67,602.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.