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Finding the Third Proportional to 21,904.17 and 31,897.55

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Solution

The third proportional to 21,904.17 and 31,897.55 is: 46,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904.17 : 31,897.55 = 31,897.55 : x
  2. Step 2: Convert to fraction form
    21,904.17/31,897.55 = 31,897.55/x
  3. Step 3: Cross multiply
    21,904.17x = 31,897.55 × 31,897.55
  4. Step 4: Simplify right side
    21,904.17x = 1,017,453,496.64
  5. Step 5: Solve for x
    x = 1,017,453,496.64/21,904.17
  6. Step 6: Final answer
    x = 46,450.22

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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.