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Finding the Third Proportional to 11,565.50 and 24,973.50

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Solution

The third proportional to 11,565.50 and 24,973.50 is: 53,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.50 : 24,973.50 = 24,973.50 : x
  2. Step 2: Convert to fraction form
    11,565.50/24,973.50 = 24,973.50/x
  3. Step 3: Cross multiply
    11,565.50x = 24,973.50 × 24,973.50
  4. Step 4: Simplify right side
    11,565.50x = 623,675,702.25
  5. Step 5: Solve for x
    x = 623,675,702.25/11,565.50
  6. Step 6: Final answer
    x = 53,925.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.