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Finding the Third Proportional to 4,587 and 10,053.38

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Solution

The third proportional to 4,587 and 10,053.38 is: 22,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587 : 10,053.38 = 10,053.38 : x
  2. Step 2: Convert to fraction form
    4,587/10,053.38 = 10,053.38/x
  3. Step 3: Cross multiply
    4,587x = 10,053.38 × 10,053.38
  4. Step 4: Simplify right side
    4,587x = 101,070,348.89
  5. Step 5: Solve for x
    x = 101,070,348.89/4,587
  6. Step 6: Final answer
    x = 22,034.09

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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.