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Finding the Third Proportional to 10,000.88 and 21,605.63

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Solution

The third proportional to 10,000.88 and 21,605.63 is: 46,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.88 : 21,605.63 = 21,605.63 : x
  2. Step 2: Convert to fraction form
    10,000.88/21,605.63 = 21,605.63/x
  3. Step 3: Cross multiply
    10,000.88x = 21,605.63 × 21,605.63
  4. Step 4: Simplify right side
    10,000.88x = 466,803,031.64
  5. Step 5: Solve for x
    x = 466,803,031.64/10,000.88
  6. Step 6: Final answer
    x = 46,676.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.