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Finding the Third Proportional to 13,570.59 and 29,901.98

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Solution

The third proportional to 13,570.59 and 29,901.98 is: 65,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.59 : 29,901.98 = 29,901.98 : x
  2. Step 2: Convert to fraction form
    13,570.59/29,901.98 = 29,901.98/x
  3. Step 3: Cross multiply
    13,570.59x = 29,901.98 × 29,901.98
  4. Step 4: Simplify right side
    13,570.59x = 894,128,669.56
  5. Step 5: Solve for x
    x = 894,128,669.56/13,570.59
  6. Step 6: Final answer
    x = 65,887.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.