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Finding the Third Proportional to 18,501.50 and 39,959

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Solution

The third proportional to 18,501.50 and 39,959 is: 86,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,501.50 : 39,959 = 39,959 : x
  2. Step 2: Convert to fraction form
    18,501.50/39,959 = 39,959/x
  3. Step 3: Cross multiply
    18,501.50x = 39,959 × 39,959
  4. Step 4: Simplify right side
    18,501.50x = 1,596,721,681
  5. Step 5: Solve for x
    x = 1,596,721,681/18,501.50
  6. Step 6: Final answer
    x = 86,302.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.