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Finding the Third Proportional to 3,014.72 and 4,430.95

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Solution

The third proportional to 3,014.72 and 4,430.95 is: 6,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.72 : 4,430.95 = 4,430.95 : x
  2. Step 2: Convert to fraction form
    3,014.72/4,430.95 = 4,430.95/x
  3. Step 3: Cross multiply
    3,014.72x = 4,430.95 × 4,430.95
  4. Step 4: Simplify right side
    3,014.72x = 19,633,345.60
  5. Step 5: Solve for x
    x = 19,633,345.60/3,014.72
  6. Step 6: Final answer
    x = 6,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.