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Finding the Third Proportional to 21,366 and 31,430.25

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Solution

The third proportional to 21,366 and 31,430.25 is: 46,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366 : 31,430.25 = 31,430.25 : x
  2. Step 2: Convert to fraction form
    21,366/31,430.25 = 31,430.25/x
  3. Step 3: Cross multiply
    21,366x = 31,430.25 × 31,430.25
  4. Step 4: Simplify right side
    21,366x = 987,860,615.06
  5. Step 5: Solve for x
    x = 987,860,615.06/21,366
  6. Step 6: Final answer
    x = 46,235.17

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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.