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Finding the Third Proportional to 44,943 and 64,738.50

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Solution

The third proportional to 44,943 and 64,738.50 is: 93,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,943 : 64,738.50 = 64,738.50 : x
  2. Step 2: Convert to fraction form
    44,943/64,738.50 = 64,738.50/x
  3. Step 3: Cross multiply
    44,943x = 64,738.50 × 64,738.50
  4. Step 4: Simplify right side
    44,943x = 4,191,073,382.25
  5. Step 5: Solve for x
    x = 4,191,073,382.25/44,943
  6. Step 6: Final answer
    x = 93,253.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.