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Finding the Third Proportional to 22,681.50 and 35,264.25

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Solution

The third proportional to 22,681.50 and 35,264.25 is: 54,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.50 : 35,264.25 = 35,264.25 : x
  2. Step 2: Convert to fraction form
    22,681.50/35,264.25 = 35,264.25/x
  3. Step 3: Cross multiply
    22,681.50x = 35,264.25 × 35,264.25
  4. Step 4: Simplify right side
    22,681.50x = 1,243,567,328.06
  5. Step 5: Solve for x
    x = 1,243,567,328.06/22,681.50
  6. Step 6: Final answer
    x = 54,827.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.