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Finding the Third Proportional to 39,927 and 66,547.50

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Solution

The third proportional to 39,927 and 66,547.50 is: 110,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,927 : 66,547.50 = 66,547.50 : x
  2. Step 2: Convert to fraction form
    39,927/66,547.50 = 66,547.50/x
  3. Step 3: Cross multiply
    39,927x = 66,547.50 × 66,547.50
  4. Step 4: Simplify right side
    39,927x = 4,428,569,756.25
  5. Step 5: Solve for x
    x = 4,428,569,756.25/39,927
  6. Step 6: Final answer
    x = 110,916.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.