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Finding the Third Proportional to 23,347.69 and 51,602.06

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Solution

The third proportional to 23,347.69 and 51,602.06 is: 114,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.69 : 51,602.06 = 51,602.06 : x
  2. Step 2: Convert to fraction form
    23,347.69/51,602.06 = 51,602.06/x
  3. Step 3: Cross multiply
    23,347.69x = 51,602.06 × 51,602.06
  4. Step 4: Simplify right side
    23,347.69x = 2,662,772,854.25
  5. Step 5: Solve for x
    x = 2,662,772,854.25/23,347.69
  6. Step 6: Final answer
    x = 114,048.68

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.