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Finding the Third Proportional to 25,001.50 and 36,514.50

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Solution

The third proportional to 25,001.50 and 36,514.50 is: 53,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,001.50 : 36,514.50 = 36,514.50 : x
  2. Step 2: Convert to fraction form
    25,001.50/36,514.50 = 36,514.50/x
  3. Step 3: Cross multiply
    25,001.50x = 36,514.50 × 36,514.50
  4. Step 4: Simplify right side
    25,001.50x = 1,333,308,710.25
  5. Step 5: Solve for x
    x = 1,333,308,710.25/25,001.50
  6. Step 6: Final answer
    x = 53,329.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.