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Finding the Third Proportional to 43,752 and 64,705.50

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Solution

The third proportional to 43,752 and 64,705.50 is: 95,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,752 : 64,705.50 = 64,705.50 : x
  2. Step 2: Convert to fraction form
    43,752/64,705.50 = 64,705.50/x
  3. Step 3: Cross multiply
    43,752x = 64,705.50 × 64,705.50
  4. Step 4: Simplify right side
    43,752x = 4,186,801,730.25
  5. Step 5: Solve for x
    x = 4,186,801,730.25/43,752
  6. Step 6: Final answer
    x = 95,693.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.