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Finding the Third Proportional to 20,746.13 and 44,985.38

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Solution

The third proportional to 20,746.13 and 44,985.38 is: 97,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746.13 : 44,985.38 = 44,985.38 : x
  2. Step 2: Convert to fraction form
    20,746.13/44,985.38 = 44,985.38/x
  3. Step 3: Cross multiply
    20,746.13x = 44,985.38 × 44,985.38
  4. Step 4: Simplify right side
    20,746.13x = 2,023,683,963.89
  5. Step 5: Solve for x
    x = 2,023,683,963.89/20,746.13
  6. Step 6: Final answer
    x = 97,545.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.