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Finding the Third Proportional to 32,032.13 and 48,837.94

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Solution

The third proportional to 32,032.13 and 48,837.94 is: 74,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.13 : 48,837.94 = 48,837.94 : x
  2. Step 2: Convert to fraction form
    32,032.13/48,837.94 = 48,837.94/x
  3. Step 3: Cross multiply
    32,032.13x = 48,837.94 × 48,837.94
  4. Step 4: Simplify right side
    32,032.13x = 2,385,144,139.25
  5. Step 5: Solve for x
    x = 2,385,144,139.25/32,032.13
  6. Step 6: Final answer
    x = 74,461.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.