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Finding the Third Proportional to 22,948.50 and 30,886.50

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Solution

The third proportional to 22,948.50 and 30,886.50 is: 41,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.50 : 30,886.50 = 30,886.50 : x
  2. Step 2: Convert to fraction form
    22,948.50/30,886.50 = 30,886.50/x
  3. Step 3: Cross multiply
    22,948.50x = 30,886.50 × 30,886.50
  4. Step 4: Simplify right side
    22,948.50x = 953,975,882.25
  5. Step 5: Solve for x
    x = 953,975,882.25/22,948.50
  6. Step 6: Final answer
    x = 41,570.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.