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Finding the Third Proportional to 10,988.63 and 23,688.38

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Solution

The third proportional to 10,988.63 and 23,688.38 is: 51,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.63 : 23,688.38 = 23,688.38 : x
  2. Step 2: Convert to fraction form
    10,988.63/23,688.38 = 23,688.38/x
  3. Step 3: Cross multiply
    10,988.63x = 23,688.38 × 23,688.38
  4. Step 4: Simplify right side
    10,988.63x = 561,139,110.14
  5. Step 5: Solve for x
    x = 561,139,110.14/10,988.63
  6. Step 6: Final answer
    x = 51,065.45

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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.