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Finding the Third Proportional to 20,678.63 and 45,302.63

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Solution

The third proportional to 20,678.63 and 45,302.63 is: 99,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.63 : 45,302.63 = 45,302.63 : x
  2. Step 2: Convert to fraction form
    20,678.63/45,302.63 = 45,302.63/x
  3. Step 3: Cross multiply
    20,678.63x = 45,302.63 × 45,302.63
  4. Step 4: Simplify right side
    20,678.63x = 2,052,327,831.89
  5. Step 5: Solve for x
    x = 2,052,327,831.89/20,678.63
  6. Step 6: Final answer
    x = 99,248.76

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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.