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Finding the Third Proportional to 3,061.88 and 4,714.50

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Solution

The third proportional to 3,061.88 and 4,714.50 is: 7,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.88 : 4,714.50 = 4,714.50 : x
  2. Step 2: Convert to fraction form
    3,061.88/4,714.50 = 4,714.50/x
  3. Step 3: Cross multiply
    3,061.88x = 4,714.50 × 4,714.50
  4. Step 4: Simplify right side
    3,061.88x = 22,226,510.25
  5. Step 5: Solve for x
    x = 22,226,510.25/3,061.88
  6. Step 6: Final answer
    x = 7,259.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.