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Finding the Third Proportional to 4,047.47 and 8,656.88

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Solution

The third proportional to 4,047.47 and 8,656.88 is: 18,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.47 : 8,656.88 = 8,656.88 : x
  2. Step 2: Convert to fraction form
    4,047.47/8,656.88 = 8,656.88/x
  3. Step 3: Cross multiply
    4,047.47x = 8,656.88 × 8,656.88
  4. Step 4: Simplify right side
    4,047.47x = 74,941,484.77
  5. Step 5: Solve for x
    x = 74,941,484.77/4,047.47
  6. Step 6: Final answer
    x = 18,515.64

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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.