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Finding the Third Proportional to 49,032 and 77,683.50

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Solution

The third proportional to 49,032 and 77,683.50 is: 123,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,032 : 77,683.50 = 77,683.50 : x
  2. Step 2: Convert to fraction form
    49,032/77,683.50 = 77,683.50/x
  3. Step 3: Cross multiply
    49,032x = 77,683.50 × 77,683.50
  4. Step 4: Simplify right side
    49,032x = 6,034,726,172.25
  5. Step 5: Solve for x
    x = 6,034,726,172.25/49,032
  6. Step 6: Final answer
    x = 123,077.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.