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Finding the Third Proportional to 22,959 and 34,897.50

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Solution

The third proportional to 22,959 and 34,897.50 is: 53,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959 : 34,897.50 = 34,897.50 : x
  2. Step 2: Convert to fraction form
    22,959/34,897.50 = 34,897.50/x
  3. Step 3: Cross multiply
    22,959x = 34,897.50 × 34,897.50
  4. Step 4: Simplify right side
    22,959x = 1,217,835,506.25
  5. Step 5: Solve for x
    x = 1,217,835,506.25/22,959
  6. Step 6: Final answer
    x = 53,043.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.