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Finding the Third Proportional to 12,359.50 and 26,663.50

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Solution

The third proportional to 12,359.50 and 26,663.50 is: 57,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.50 : 26,663.50 = 26,663.50 : x
  2. Step 2: Convert to fraction form
    12,359.50/26,663.50 = 26,663.50/x
  3. Step 3: Cross multiply
    12,359.50x = 26,663.50 × 26,663.50
  4. Step 4: Simplify right side
    12,359.50x = 710,942,232.25
  5. Step 5: Solve for x
    x = 710,942,232.25/12,359.50
  6. Step 6: Final answer
    x = 57,521.93

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