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Finding the Third Proportional to 49,081.50 and 66,547.50

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Solution

The third proportional to 49,081.50 and 66,547.50 is: 90,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,081.50 : 66,547.50 = 66,547.50 : x
  2. Step 2: Convert to fraction form
    49,081.50/66,547.50 = 66,547.50/x
  3. Step 3: Cross multiply
    49,081.50x = 66,547.50 × 66,547.50
  4. Step 4: Simplify right side
    49,081.50x = 4,428,569,756.25
  5. Step 5: Solve for x
    x = 4,428,569,756.25/49,081.50
  6. Step 6: Final answer
    x = 90,228.90

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.