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Finding the Third Proportional to 1,502.72 and 2,312.93

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Solution

The third proportional to 1,502.72 and 2,312.93 is: 3,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.72 : 2,312.93 = 2,312.93 : x
  2. Step 2: Convert to fraction form
    1,502.72/2,312.93 = 2,312.93/x
  3. Step 3: Cross multiply
    1,502.72x = 2,312.93 × 2,312.93
  4. Step 4: Simplify right side
    1,502.72x = 5,349,643.74
  5. Step 5: Solve for x
    x = 5,349,643.74/1,502.72
  6. Step 6: Final answer
    x = 3,559.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.