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Finding the Third Proportional to 32,868.84 and 48,254.06

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Solution

The third proportional to 32,868.84 and 48,254.06 is: 70,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,868.84 : 48,254.06 = 48,254.06 : x
  2. Step 2: Convert to fraction form
    32,868.84/48,254.06 = 48,254.06/x
  3. Step 3: Cross multiply
    32,868.84x = 48,254.06 × 48,254.06
  4. Step 4: Simplify right side
    32,868.84x = 2,328,454,547.75
  5. Step 5: Solve for x
    x = 2,328,454,547.75/32,868.84
  6. Step 6: Final answer
    x = 70,840.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.