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Finding the Third Proportional to 21,430.63 and 46,384.75

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Solution

The third proportional to 21,430.63 and 46,384.75 is: 100,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430.63 : 46,384.75 = 46,384.75 : x
  2. Step 2: Convert to fraction form
    21,430.63/46,384.75 = 46,384.75/x
  3. Step 3: Cross multiply
    21,430.63x = 46,384.75 × 46,384.75
  4. Step 4: Simplify right side
    21,430.63x = 2,151,545,032.56
  5. Step 5: Solve for x
    x = 2,151,545,032.56/21,430.63
  6. Step 6: Final answer
    x = 100,395.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.