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Finding the Third Proportional to 10,300.50 and 14,730

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Solution

The third proportional to 10,300.50 and 14,730 is: 21,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.50 : 14,730 = 14,730 : x
  2. Step 2: Convert to fraction form
    10,300.50/14,730 = 14,730/x
  3. Step 3: Cross multiply
    10,300.50x = 14,730 × 14,730
  4. Step 4: Simplify right side
    10,300.50x = 216,972,900
  5. Step 5: Solve for x
    x = 216,972,900/10,300.50
  6. Step 6: Final answer
    x = 21,064.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.