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Finding the Third Proportional to 4,555.30 and 7,315.63

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Solution

The third proportional to 4,555.30 and 7,315.63 is: 11,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.30 : 7,315.63 = 7,315.63 : x
  2. Step 2: Convert to fraction form
    4,555.30/7,315.63 = 7,315.63/x
  3. Step 3: Cross multiply
    4,555.30x = 7,315.63 × 7,315.63
  4. Step 4: Simplify right side
    4,555.30x = 53,518,426.29
  5. Step 5: Solve for x
    x = 53,518,426.29/4,555.30
  6. Step 6: Final answer
    x = 11,748.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.