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Finding the Third Proportional to 35,526.50 and 54,748

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Solution

The third proportional to 35,526.50 and 54,748 is: 84,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,526.50 : 54,748 = 54,748 : x
  2. Step 2: Convert to fraction form
    35,526.50/54,748 = 54,748/x
  3. Step 3: Cross multiply
    35,526.50x = 54,748 × 54,748
  4. Step 4: Simplify right side
    35,526.50x = 2,997,343,504
  5. Step 5: Solve for x
    x = 2,997,343,504/35,526.50
  6. Step 6: Final answer
    x = 84,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.