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Finding the Third Proportional to 10,560.38 and 22,595.63

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Solution

The third proportional to 10,560.38 and 22,595.63 is: 48,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.38 : 22,595.63 = 22,595.63 : x
  2. Step 2: Convert to fraction form
    10,560.38/22,595.63 = 22,595.63/x
  3. Step 3: Cross multiply
    10,560.38x = 22,595.63 × 22,595.63
  4. Step 4: Simplify right side
    10,560.38x = 510,562,269.14
  5. Step 5: Solve for x
    x = 510,562,269.14/10,560.38
  6. Step 6: Final answer
    x = 48,346.98

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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.