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Finding the Third Proportional to 17,866.38 and 26,264.63

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Solution

The third proportional to 17,866.38 and 26,264.63 is: 38,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.38 : 26,264.63 = 26,264.63 : x
  2. Step 2: Convert to fraction form
    17,866.38/26,264.63 = 26,264.63/x
  3. Step 3: Cross multiply
    17,866.38x = 26,264.63 × 26,264.63
  4. Step 4: Simplify right side
    17,866.38x = 689,830,526.39
  5. Step 5: Solve for x
    x = 689,830,526.39/17,866.38
  6. Step 6: Final answer
    x = 38,610.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.