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Finding the Third Proportional to 14,702.63 and 32,222.25

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Solution

The third proportional to 14,702.63 and 32,222.25 is: 70,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.63 : 32,222.25 = 32,222.25 : x
  2. Step 2: Convert to fraction form
    14,702.63/32,222.25 = 32,222.25/x
  3. Step 3: Cross multiply
    14,702.63x = 32,222.25 × 32,222.25
  4. Step 4: Simplify right side
    14,702.63x = 1,038,273,395.06
  5. Step 5: Solve for x
    x = 1,038,273,395.06/14,702.63
  6. Step 6: Final answer
    x = 70,618.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.