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Finding the Third Proportional to 10,370.95 and 22,501.97

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Solution

The third proportional to 10,370.95 and 22,501.97 is: 48,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.95 : 22,501.97 = 22,501.97 : x
  2. Step 2: Convert to fraction form
    10,370.95/22,501.97 = 22,501.97/x
  3. Step 3: Cross multiply
    10,370.95x = 22,501.97 × 22,501.97
  4. Step 4: Simplify right side
    10,370.95x = 506,338,597.63
  5. Step 5: Solve for x
    x = 506,338,597.63/10,370.95
  6. Step 6: Final answer
    x = 48,822.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.