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Finding the Third Proportional to 23,897.53 and 36,985.36

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Solution

The third proportional to 23,897.53 and 36,985.36 is: 57,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.53 : 36,985.36 = 36,985.36 : x
  2. Step 2: Convert to fraction form
    23,897.53/36,985.36 = 36,985.36/x
  3. Step 3: Cross multiply
    23,897.53x = 36,985.36 × 36,985.36
  4. Step 4: Simplify right side
    23,897.53x = 1,367,916,808.10
  5. Step 5: Solve for x
    x = 1,367,916,808.10/23,897.53
  6. Step 6: Final answer
    x = 57,240.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.