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Finding the Third Proportional to 7,024.32 and 15,050.58

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Solution

The third proportional to 7,024.32 and 15,050.58 is: 32,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.32 : 15,050.58 = 15,050.58 : x
  2. Step 2: Convert to fraction form
    7,024.32/15,050.58 = 15,050.58/x
  3. Step 3: Cross multiply
    7,024.32x = 15,050.58 × 15,050.58
  4. Step 4: Simplify right side
    7,024.32x = 226,519,813.71
  5. Step 5: Solve for x
    x = 226,519,813.71/7,024.32
  6. Step 6: Final answer
    x = 32,247.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.