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Finding the Third Proportional to 4,726.40 and 6,624.00

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Solution

The third proportional to 4,726.40 and 6,624.00 is: 9,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.40 : 6,624.00 = 6,624.00 : x
  2. Step 2: Convert to fraction form
    4,726.40/6,624.00 = 6,624.00/x
  3. Step 3: Cross multiply
    4,726.40x = 6,624.00 × 6,624.00
  4. Step 4: Simplify right side
    4,726.40x = 43,877,434.22
  5. Step 5: Solve for x
    x = 43,877,434.22/4,726.40
  6. Step 6: Final answer
    x = 9,283.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.