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Finding the Third Proportional to 22,897.69 and 36,784.13

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Solution

The third proportional to 22,897.69 and 36,784.13 is: 59,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.69 : 36,784.13 = 36,784.13 : x
  2. Step 2: Convert to fraction form
    22,897.69/36,784.13 = 36,784.13/x
  3. Step 3: Cross multiply
    22,897.69x = 36,784.13 × 36,784.13
  4. Step 4: Simplify right side
    22,897.69x = 1,353,071,852.02
  5. Step 5: Solve for x
    x = 1,353,071,852.02/22,897.69
  6. Step 6: Final answer
    x = 59,092.07

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.