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Finding the Third Proportional to 7,574.63 and 15,526.13

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Solution

The third proportional to 7,574.63 and 15,526.13 is: 31,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.63 : 15,526.13 = 15,526.13 : x
  2. Step 2: Convert to fraction form
    7,574.63/15,526.13 = 15,526.13/x
  3. Step 3: Cross multiply
    7,574.63x = 15,526.13 × 15,526.13
  4. Step 4: Simplify right side
    7,574.63x = 241,060,557.52
  5. Step 5: Solve for x
    x = 241,060,557.52/7,574.63
  6. Step 6: Final answer
    x = 31,824.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.