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Finding the Third Proportional to 29,032.31 and 63,597.94

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Solution

The third proportional to 29,032.31 and 63,597.94 is: 139,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,032.31 : 63,597.94 = 63,597.94 : x
  2. Step 2: Convert to fraction form
    29,032.31/63,597.94 = 63,597.94/x
  3. Step 3: Cross multiply
    29,032.31x = 63,597.94 × 63,597.94
  4. Step 4: Simplify right side
    29,032.31x = 4,044,697,654.25
  5. Step 5: Solve for x
    x = 4,044,697,654.25/29,032.31
  6. Step 6: Final answer
    x = 139,317.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.