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Finding the Third Proportional to 9,853.88 and 15,601.50

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Solution

The third proportional to 9,853.88 and 15,601.50 is: 24,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.88 : 15,601.50 = 15,601.50 : x
  2. Step 2: Convert to fraction form
    9,853.88/15,601.50 = 15,601.50/x
  3. Step 3: Cross multiply
    9,853.88x = 15,601.50 × 15,601.50
  4. Step 4: Simplify right side
    9,853.88x = 243,406,802.25
  5. Step 5: Solve for x
    x = 243,406,802.25/9,853.88
  6. Step 6: Final answer
    x = 24,701.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.