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Finding the Third Proportional to 21,632.81 and 31,598.63

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Solution

The third proportional to 21,632.81 and 31,598.63 is: 46,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.81 : 31,598.63 = 31,598.63 : x
  2. Step 2: Convert to fraction form
    21,632.81/31,598.63 = 31,598.63/x
  3. Step 3: Cross multiply
    21,632.81x = 31,598.63 × 31,598.63
  4. Step 4: Simplify right side
    21,632.81x = 998,473,101.89
  5. Step 5: Solve for x
    x = 998,473,101.89/21,632.81
  6. Step 6: Final answer
    x = 46,155.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.