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Finding the Third Proportional to 32,098.50 and 42,601.50

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Solution

The third proportional to 32,098.50 and 42,601.50 is: 56,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.50 : 42,601.50 = 42,601.50 : x
  2. Step 2: Convert to fraction form
    32,098.50/42,601.50 = 42,601.50/x
  3. Step 3: Cross multiply
    32,098.50x = 42,601.50 × 42,601.50
  4. Step 4: Simplify right side
    32,098.50x = 1,814,887,802.25
  5. Step 5: Solve for x
    x = 1,814,887,802.25/32,098.50
  6. Step 6: Final answer
    x = 56,541.20

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.