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Finding the Third Proportional to 21,510.94 and 31,633.31

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Solution

The third proportional to 21,510.94 and 31,633.31 is: 46,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.94 : 31,633.31 = 31,633.31 : x
  2. Step 2: Convert to fraction form
    21,510.94/31,633.31 = 31,633.31/x
  3. Step 3: Cross multiply
    21,510.94x = 31,633.31 × 31,633.31
  4. Step 4: Simplify right side
    21,510.94x = 1,000,666,459.72
  5. Step 5: Solve for x
    x = 1,000,666,459.72/21,510.94
  6. Step 6: Final answer
    x = 46,518.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.