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Finding the Third Proportional to 44,098 and 64,297.50

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Solution

The third proportional to 44,098 and 64,297.50 is: 93,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,098 : 64,297.50 = 64,297.50 : x
  2. Step 2: Convert to fraction form
    44,098/64,297.50 = 64,297.50/x
  3. Step 3: Cross multiply
    44,098x = 64,297.50 × 64,297.50
  4. Step 4: Simplify right side
    44,098x = 4,134,168,506.25
  5. Step 5: Solve for x
    x = 4,134,168,506.25/44,098
  6. Step 6: Final answer
    x = 93,749.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.