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Finding the Third Proportional to 10,152.84 and 14,955.89

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Solution

The third proportional to 10,152.84 and 14,955.89 is: 22,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.84 : 14,955.89 = 14,955.89 : x
  2. Step 2: Convert to fraction form
    10,152.84/14,955.89 = 14,955.89/x
  3. Step 3: Cross multiply
    10,152.84x = 14,955.89 × 14,955.89
  4. Step 4: Simplify right side
    10,152.84x = 223,678,664.39
  5. Step 5: Solve for x
    x = 223,678,664.39/10,152.84
  6. Step 6: Final answer
    x = 22,031.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.