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Finding the Third Proportional to 24,063.75 and 35,032.50

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Solution

The third proportional to 24,063.75 and 35,032.50 is: 51,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,063.75 : 35,032.50 = 35,032.50 : x
  2. Step 2: Convert to fraction form
    24,063.75/35,032.50 = 35,032.50/x
  3. Step 3: Cross multiply
    24,063.75x = 35,032.50 × 35,032.50
  4. Step 4: Simplify right side
    24,063.75x = 1,227,276,056.25
  5. Step 5: Solve for x
    x = 1,227,276,056.25/24,063.75
  6. Step 6: Final answer
    x = 51,001.03

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