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Finding the Third Proportional to 10,438.03 and 22,502.81

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Solution

The third proportional to 10,438.03 and 22,502.81 is: 48,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.03 : 22,502.81 = 22,502.81 : x
  2. Step 2: Convert to fraction form
    10,438.03/22,502.81 = 22,502.81/x
  3. Step 3: Cross multiply
    10,438.03x = 22,502.81 × 22,502.81
  4. Step 4: Simplify right side
    10,438.03x = 506,376,570.41
  5. Step 5: Solve for x
    x = 506,376,570.41/10,438.03
  6. Step 6: Final answer
    x = 48,512.65

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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.