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Finding the Third Proportional to 46,702.13 and 70,539.19

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Solution

The third proportional to 46,702.13 and 70,539.19 is: 106,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,702.13 : 70,539.19 = 70,539.19 : x
  2. Step 2: Convert to fraction form
    46,702.13/70,539.19 = 70,539.19/x
  3. Step 3: Cross multiply
    46,702.13x = 70,539.19 × 70,539.19
  4. Step 4: Simplify right side
    46,702.13x = 4,975,776,973.16
  5. Step 5: Solve for x
    x = 4,975,776,973.16/46,702.13
  6. Step 6: Final answer
    x = 106,542.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.