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Finding the Third Proportional to 11,730 and 15,718.50

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Solution

The third proportional to 11,730 and 15,718.50 is: 21,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730 : 15,718.50 = 15,718.50 : x
  2. Step 2: Convert to fraction form
    11,730/15,718.50 = 15,718.50/x
  3. Step 3: Cross multiply
    11,730x = 15,718.50 × 15,718.50
  4. Step 4: Simplify right side
    11,730x = 247,071,242.25
  5. Step 5: Solve for x
    x = 247,071,242.25/11,730
  6. Step 6: Final answer
    x = 21,063.19

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.