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Finding the Third Proportional to 6,598.50 and 15,574.50

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Solution

The third proportional to 6,598.50 and 15,574.50 is: 36,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.50 : 15,574.50 = 15,574.50 : x
  2. Step 2: Convert to fraction form
    6,598.50/15,574.50 = 15,574.50/x
  3. Step 3: Cross multiply
    6,598.50x = 15,574.50 × 15,574.50
  4. Step 4: Simplify right side
    6,598.50x = 242,565,050.25
  5. Step 5: Solve for x
    x = 242,565,050.25/6,598.50
  6. Step 6: Final answer
    x = 36,760.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.