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Finding the Third Proportional to 9,052.50 and 19,657.50

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Solution

The third proportional to 9,052.50 and 19,657.50 is: 42,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.50 : 19,657.50 = 19,657.50 : x
  2. Step 2: Convert to fraction form
    9,052.50/19,657.50 = 19,657.50/x
  3. Step 3: Cross multiply
    9,052.50x = 19,657.50 × 19,657.50
  4. Step 4: Simplify right side
    9,052.50x = 386,417,306.25
  5. Step 5: Solve for x
    x = 386,417,306.25/9,052.50
  6. Step 6: Final answer
    x = 42,686.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.