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Finding the Third Proportional to 4,523.63 and 9,897.75

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Solution

The third proportional to 4,523.63 and 9,897.75 is: 21,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.63 : 9,897.75 = 9,897.75 : x
  2. Step 2: Convert to fraction form
    4,523.63/9,897.75 = 9,897.75/x
  3. Step 3: Cross multiply
    4,523.63x = 9,897.75 × 9,897.75
  4. Step 4: Simplify right side
    4,523.63x = 97,965,455.06
  5. Step 5: Solve for x
    x = 97,965,455.06/4,523.63
  6. Step 6: Final answer
    x = 21,656.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.