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Finding the Third Proportional to 44,952 and 64,750.50

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Solution

The third proportional to 44,952 and 64,750.50 is: 93,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,952 : 64,750.50 = 64,750.50 : x
  2. Step 2: Convert to fraction form
    44,952/64,750.50 = 64,750.50/x
  3. Step 3: Cross multiply
    44,952x = 64,750.50 × 64,750.50
  4. Step 4: Simplify right side
    44,952x = 4,192,627,250.25
  5. Step 5: Solve for x
    x = 4,192,627,250.25/44,952
  6. Step 6: Final answer
    x = 93,268.98

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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.