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Finding the Third Proportional to 22,463.44 and 53,417.25

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Solution

The third proportional to 22,463.44 and 53,417.25 is: 127,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.44 : 53,417.25 = 53,417.25 : x
  2. Step 2: Convert to fraction form
    22,463.44/53,417.25 = 53,417.25/x
  3. Step 3: Cross multiply
    22,463.44x = 53,417.25 × 53,417.25
  4. Step 4: Simplify right side
    22,463.44x = 2,853,402,597.56
  5. Step 5: Solve for x
    x = 2,853,402,597.56/22,463.44
  6. Step 6: Final answer
    x = 127,024.31

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.