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Finding the Third Proportional to 6,149 and 9,547.50

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Solution

The third proportional to 6,149 and 9,547.50 is: 14,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149 : 9,547.50 = 9,547.50 : x
  2. Step 2: Convert to fraction form
    6,149/9,547.50 = 9,547.50/x
  3. Step 3: Cross multiply
    6,149x = 9,547.50 × 9,547.50
  4. Step 4: Simplify right side
    6,149x = 91,154,756.25
  5. Step 5: Solve for x
    x = 91,154,756.25/6,149
  6. Step 6: Final answer
    x = 14,824.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.