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Finding the Third Proportional to 29,913.63 and 46,312.88

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Solution

The third proportional to 29,913.63 and 46,312.88 is: 71,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913.63 : 46,312.88 = 46,312.88 : x
  2. Step 2: Convert to fraction form
    29,913.63/46,312.88 = 46,312.88/x
  3. Step 3: Cross multiply
    29,913.63x = 46,312.88 × 46,312.88
  4. Step 4: Simplify right side
    29,913.63x = 2,144,882,390.77
  5. Step 5: Solve for x
    x = 2,144,882,390.77/29,913.63
  6. Step 6: Final answer
    x = 71,702.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.