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Finding the Third Proportional to 7,911 and 12,345.75

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Solution

The third proportional to 7,911 and 12,345.75 is: 19,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911 : 12,345.75 = 12,345.75 : x
  2. Step 2: Convert to fraction form
    7,911/12,345.75 = 12,345.75/x
  3. Step 3: Cross multiply
    7,911x = 12,345.75 × 12,345.75
  4. Step 4: Simplify right side
    7,911x = 152,417,543.06
  5. Step 5: Solve for x
    x = 152,417,543.06/7,911
  6. Step 6: Final answer
    x = 19,266.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.