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Finding the Third Proportional to 38,881.13 and 61,897.13

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Solution

The third proportional to 38,881.13 and 61,897.13 is: 98,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,881.13 : 61,897.13 = 61,897.13 : x
  2. Step 2: Convert to fraction form
    38,881.13/61,897.13 = 61,897.13/x
  3. Step 3: Cross multiply
    38,881.13x = 61,897.13 × 61,897.13
  4. Step 4: Simplify right side
    38,881.13x = 3,831,254,083.27
  5. Step 5: Solve for x
    x = 3,831,254,083.27/38,881.13
  6. Step 6: Final answer
    x = 98,537.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.