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Finding the Third Proportional to 13,501.69 and 35,564.06

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Solution

The third proportional to 13,501.69 and 35,564.06 is: 93,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.69 : 35,564.06 = 35,564.06 : x
  2. Step 2: Convert to fraction form
    13,501.69/35,564.06 = 35,564.06/x
  3. Step 3: Cross multiply
    13,501.69x = 35,564.06 × 35,564.06
  4. Step 4: Simplify right side
    13,501.69x = 1,264,802,541.50
  5. Step 5: Solve for x
    x = 1,264,802,541.50/13,501.69
  6. Step 6: Final answer
    x = 93,677.37

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These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.