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Finding the Third Proportional to 9,702 and 15,574.50

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Solution

The third proportional to 9,702 and 15,574.50 is: 25,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702 : 15,574.50 = 15,574.50 : x
  2. Step 2: Convert to fraction form
    9,702/15,574.50 = 15,574.50/x
  3. Step 3: Cross multiply
    9,702x = 15,574.50 × 15,574.50
  4. Step 4: Simplify right side
    9,702x = 242,565,050.25
  5. Step 5: Solve for x
    x = 242,565,050.25/9,702
  6. Step 6: Final answer
    x = 25,001.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.