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Finding the Third Proportional to 35,526.09 and 75,975.47

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Solution

The third proportional to 35,526.09 and 75,975.47 is: 162,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,526.09 : 75,975.47 = 75,975.47 : x
  2. Step 2: Convert to fraction form
    35,526.09/75,975.47 = 75,975.47/x
  3. Step 3: Cross multiply
    35,526.09x = 75,975.47 × 75,975.47
  4. Step 4: Simplify right side
    35,526.09x = 5,772,271,851.78
  5. Step 5: Solve for x
    x = 5,772,271,851.78/35,526.09
  6. Step 6: Final answer
    x = 162,479.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.