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Finding the Third Proportional to 45,547.50 and 71,301

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Solution

The third proportional to 45,547.50 and 71,301 is: 111,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,547.50 : 71,301 = 71,301 : x
  2. Step 2: Convert to fraction form
    45,547.50/71,301 = 71,301/x
  3. Step 3: Cross multiply
    45,547.50x = 71,301 × 71,301
  4. Step 4: Simplify right side
    45,547.50x = 5,083,832,601
  5. Step 5: Solve for x
    x = 5,083,832,601/45,547.50
  6. Step 6: Final answer
    x = 111,616.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.