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Finding the Third Proportional to 21,929.63 and 46,151.63

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Solution

The third proportional to 21,929.63 and 46,151.63 is: 97,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929.63 : 46,151.63 = 46,151.63 : x
  2. Step 2: Convert to fraction form
    21,929.63/46,151.63 = 46,151.63/x
  3. Step 3: Cross multiply
    21,929.63x = 46,151.63 × 46,151.63
  4. Step 4: Simplify right side
    21,929.63x = 2,129,972,490.14
  5. Step 5: Solve for x
    x = 2,129,972,490.14/21,929.63
  6. Step 6: Final answer
    x = 97,127.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.